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Program schedule
The mathematical program is held in the Carelia Hall (opening session
and plenary lectures) and in the Metria and the Futura buildings
of the University of Joensuu, see the
campus map.
Sunday, June 12
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18.00 - 22.00
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Informal gathering in the Metria lobby
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Monday, June 13
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9.00 - 9.35
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Opening session (Carelia Hall)
Welcoming addresses:
Prof. Stephan Ruscheweyh, Chair of the Organizing Committee
Prof. Perttu Vartiainen, Rector of the University of Joensuu
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Presenting the winner of the CMFT award:
Prof. Ed Saff, Member of the Organizing Committee
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9.35 - 10.35
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M. Seppälä: Mathematical work of Olli
Lehto (Carelia Hall)
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10.35 - 11.05
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Coffee break (Carelia Hall lobby)
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11.05 - 12.05
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R. Varga: Dynamical motion in discrepancy theory
(Carelia Hall)
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12.05 - 13.45
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Lunch break
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13.00 - 17.00
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Poster session I
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13.45 - 14.45
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P. Clarkson: Special polynomials associated with
rational solutions of the Painlevé equations and applications
to soliton equations (Carelia Hall)
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15.00 - 18.05
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Contributed talks in sections (Metria)
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19.30 - 21.00
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Reception of the City of Joensuu and the University of
Joensuu
(Joensuu Art Museum)
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Tuesday, June 14
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9.00 - 10.00
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A. Fokas: Generalised Fourier transforms, their
nonlinearisation and the imaging of the brain (Carelia
Hall)
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9.00 - 12.00
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City tour for accompanying persons, see details in
Social program
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10.20 - 10.55
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Invited lectures in sections: Aikawa, Cuyt, Langley, Stahl
(Metria)
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11.05 - 12.05
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Contributed talks in sections (Metria)
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12.05 - 13.45
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Lunch break
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13.00 - 17.00
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Poster session II
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13.45 - 14.45
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L. A. Beardon: University outreach: Sharing the
excitement of learning mathematics (Carelia Hall)
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15.00 - 18.05
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Contributed talks in sections (Metria)
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Wednesday, June 15
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9.00 - 10.00
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N. Trefethen: The trapezoid rule for contour integrals:
old history, new applications (Carelia Hall)
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10.20 - 11.55
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Contributed talks in sections (Metria)
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13.45 - 21.00
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Excursion to Jakokoski, see details in Social
program
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Thursday, June 16
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9.00 - 10.00
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J. Baik: Toeplitz and Fredholm determinants
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10.00 - 15.00
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Excursion to Ilomantsi for accompanying persons, see
details in Social program
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10.20 - 10.55
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Invited lectures in sections: Gonchar, Gutlyanskii, Minda,
Revesz, Shimomura (Metria)
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11.05 - 12.05
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Contributed talks in sections (Metria)
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12.05 - 13.45
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Lunch break
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13.00 - 17.00
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Poster session III
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13.45 - 14.45
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A. Martinez-Finkelshtein: New results for orthogonal
polynomials on the unit circle (Carelia Hall)
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15.00 - 18.05
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Contributed talks in sections (Metria)
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Friday, June 17
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9.00 - 10.00
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H. Hedenmalm: Boundary behaviour of conformal mappings
and weighted Bergman spaces (Carelia Hall)
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10.20 - 11.55
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Contributed talks in sections (Metria)
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11.55 - 13.30
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Lunch break
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13.30 - 15.05
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Contributed talks in sections (Metria)
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15.25 - 16.25
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D. Khavinson: The isoperimetric inequality revisited
through approximation theory: complex analytic approach, unanswered
questions, free boundary problems (Carelia Hall)
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16.25 - 16.40
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Closing session (Carelia Hall)
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19.00 -
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Conference dinner at Restaurant Aura
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Lecture program:
(This is a tentative program)
Monday, June 13
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Carelia Hall
(chair: S. Rickman)
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9.35-10.35
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M. Seppälä: Mathematical work of Olli
Lehto
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(chair: W. Gautschi)
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11.05-12.05
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R. Varga: Dynamical motion in discrepancy theory
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(chair: A. Hinkkanen)
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13.45-14.45
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P. Clarkson: Special polynomials associated with
rational solutions of the Painlevé equations and applications
to soliton equations
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M1
(chair: (F. Rønning)
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15.00-15.25
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T. Suffridge: Some extreme points in the family
of normalized convex mappings of the unit ball in complex
n-space
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15.35-16.00
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D. Bshouty: Univalent harmonic mappings with Blaschke
dilatations
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(chair: M. Obradovic)
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16.30-16.55
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A. Lyzzaik: Local decomposition of planar harmonic
mappings
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17.05-17.30
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G. Neumann: Cluster points and asymptotic values
of planar harmonic functions. Preliminary report
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17.40-18.05
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M. Dorff: Harmonic univalent mappings and Lie symmetries
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M2
(chair: R. W. Barnard)
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15.00-15.25
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N. Papamichael: A simple procedure for computing
the conformal modules of polygonal quadrilaterals
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15.35-16.00
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A. Rasila: Computation of moduli of quadrilaterals
and rings
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(chair: H. Stahl)
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16.30-16.55
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L. Lorenzen: A conjecture on continued fractions
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17.05-17.30
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K. Ishizaki: Value distributions of meromorphic
Schröder functions
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17.40-18.05
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A. Deaño: Recurrence relations and continued
fractions for Kummer functions. Anomalous convergence revisited
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M3
(chair: R. Fournier)
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15.00-15.25
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V. Andrievskii: Geometry of complex polynomials
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15.35-16.00
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T. W. Ng: D-companion matrices and geometry of
polynomials
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(chair: V. Andrievskii)
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16.30-16.55
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K. Jordaan: Separation theorems for the zeros of
certain hypergeometric polynomials
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17.05-17.30
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R. Fournier: On certain refinements of Bernstein
polynomial inequality
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17.40-18.05
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T. Erkama: Periodic orbits of quadratic polynomials
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M4
(chair: B. Forster)
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15.00-15.25
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E. Liflyand: Two spaces conditions for integrability
of the Fourier transform
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15.35-16.00
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E. A. Karatsuba: Harmonic analysis in a problem
of mathematical physics
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(chair: E. Liflyand)
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16.30-16.55
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E. Wegert: On solvability of the autocorrelation
equation
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17.05-17.30
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B. Forster: Spline interpolated Dirichlet series
and their order of approximation
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17.40-18.05
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A. Shermenev: Nonlinear wave equation in cylinder
coordinates
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K2
(chair: A. Kondratyuk)
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15.00-15.25
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E. Petropoulou: A new discretization technique
for the solution of ODEs
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15.35- 16.00
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N. Strelkov: On the discrete analogs of Laplace
operator
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(chair: K. Stephenson)
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16.30-16.55
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G. B. Williams: Image recognition using circle
packings
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17.05-17.30
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N. Faustino: An application of a discrete function
theory in computational fluid dynamics
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17.40-18.05
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E. Murphy: Discrete conformal approximation of
complex earthquake maps
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Tuesday, June 14
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Carelia Hall
(chair: R. Halburd)
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9.00-10.00
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A. Fokas: Generalized Fourier transforms, their
nonlinearisation and the imaging of the brain
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(chair: K. Driver)
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13.45-14.45
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L. A. Beardon: University outreach: Sharing the
excitement of learning mathematics
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M1
(chair: A. Aptekarev)
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10.20-10.55
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A. Cuyt: Rational approximation theory and scientific
computing
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11.05-11.30
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H.-P. Blatt: The Interaction of alternation points
and poles in rational approximation
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11.40-12.05
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B. Verdonk: Homogeneous Padé approximants
at work in shape reconstruction
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(chair: K. Ishizaki)
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15.00-15.25
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H. Silverman: A Characterization of a class of
univalent functions
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15.35-16.00
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S. Ponnusamy: On certain special families of univalent
analytic functions
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(chair: L. Salinas)
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16.30-16.55
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T. Bulboaca: Classes of differential subordinations
and superordinations
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17.05-17.30
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M. Obradovic: Survey and problems on special classes
of univalent functions and applications
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17.40-18.05
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S. Joshi: Some applications of Ruscheweyh derivate
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M2
(chair: V. Gutlyanskii)
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10.20-10.55
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H. Aikawa: Boundary estimates of p-harmonic functions
in a metric measure space
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11.05-11.30
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N. Stylianopoulos: Optimal semi-iterative methods
for complex SOR with results from potential theory
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11.40-12.05
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A. Grinshpan: Cosine expansions with nonnegative
coefficients
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(chair: A. Lyzzaik)
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15.00-15.25
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E. Silvia: Building planar harmonic functions
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15.35-16.00
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I. Chyzhykov: Approximation of subharmonic functions
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(chair: D. Minda)
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16.30-16.55
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E. Crane: Smale's mean value conjecture
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17.05-17.30
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E. Katsoprinakis: On the mean value conjecture
of Smale
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17.40-18.05
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M. Assal: Generalized weighted Besov type spaces
associated with Dunkel operators
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M3
(chair: S. Shimomura)
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10.20-10.55
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J. K. Langley: Integer points of entire functions
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11.05-11.30
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A. Fernández: Some remarks on the application
of Ahlfors theory of covering surfaces to the value distribution
of algebroid functions
|
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11.40-12.05
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P. Fenton: The cosπ ρ theorem for meromorphic
functions
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(chair: A. Jerbashian)
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15.00-15.25
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E. Clifford: Proof outline of a recent value distribution
result
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15.35-16.00
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K. S. Charak: On a class of prime entire functions
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(chair: P. Fenton)
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16.30-16.55
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C.-C. Yang: Some applications of value distribution
theory to differential and functional equations
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17.05-17.30
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J. Rieppo: Reduction theorems for functional equations
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17.40-18.05
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A. Escassut: p-adic sets of range uniqueness
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M4
(chair: J. Lewis)
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10.20-10.55
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H. Stahl: Sets of minimal capacity and extremal
domains
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11.05-11.30
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T. Sugawa: Circular widths of plane domains
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11.40-12.05
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K. Stephenson: Discrete conformal welding and curvature
flow
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(chair: T. Sugawa)
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15.00-15.25
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D. Radnell: Sewing in rigged Teichmüller space
and conformal field theory
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15.35-16.00
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P. Tamrazov: Tchebotaröv's problem
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(chair: K. Osipenko)
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16.30-16.55
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U. Kähler: Clifford analysis for reflection
groups
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17.05-17.30
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P. Cerejeiras: Parabolic Dirac operators for instationary
Navier-Stokes equations
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17.40-18.05
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D. Eelbode: Photogenic distributions
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K2
(chair: J. Pfaltzgraff)
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11.05-11.30
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T. DeLillo: Schwarz-Christoffel mapping of bounded,
multiply connected domains
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11.40-12.05
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D. Crowdy: Schwarz-Christoffel formulas to multiply
connected polygonal domains
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(chair: M. Elin)
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15.00-15.25
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A. Elcrat: Computation of multiply connected Schwarz-Christoffel
maps
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15.35-16.00
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O. Dovgoshey: On the approximation problems in
Caratheodory domains
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(chair: V. Vlasov)
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16.30-16.55
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J. M. Rappoport: The computation of Macdonald function's
derivative
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17.05-17.30
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A. Bombrun: Liapunov interpolation
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17.40-18.05
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V. Goryainov: Complex analytic methods in the branching
processes theory
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Wednesday, June 15
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Carelia Hall
(chair: N. Papamichael)
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9.00-10.00
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N. Trefethen: The trapezoid rule for contour integrals:
old history, new applications
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M1
(chair: D. Bshouty)
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10.20-10.45
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L. Salinas: On a conjecture of S. P. Robinson
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10.55-11.20
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E. Schippers: The power matrix, quadratic differentials
and the coadjoint map
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11.30-11.55
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S. K. Sahoo: Norm estimates for Bernadi integral
transforms of functions defined by subordination
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M2
(chair: M. Vuorinen)
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10.20-10.45
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A. Hinkkanen: Limit functions in convergence groups
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10.55-11.20
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Y. Okuyama: Nevanlinna theoretical exceptional
sets of rational semigroups
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11.30-11.55
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R. M. Porter: Numerical study of the space of horocycle
domains
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M3
(chair: J. Langley)
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10.20-10.45
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R. Korhonen: Difference equations and Nevanlinna
theory
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10.55-11.20
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R. Halburd: Meromorphic solutions of difference
equations
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11.30-11.55
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Y. M. Chiang: On the growth of entire solutions
to some difference equations
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M4
(chair: A. Escassut)
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10.20-10.55
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G. Csordas: The maximum modulus of the Riemann
ξ-function and complex zero decreasing sequences
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10.55-11.20
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A. Kondratyuk: A Carleman-Nevanlinna theorem and
summation of the Riemann zeta-function logarithm
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11.30-11.55
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M. Stessin: Subalgebras generated by inner functions
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K2
(chair: E. Katsoprinakis)
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10.20-10.45
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A. Vishnyakova: A sufficient condition for a sequence
to be Pólya frequency sequence and it applications
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10.55-11.20
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V. Nestoridis: Universal Taylor series in simply
connected domains
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11.30-11.55
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R. Barnard: Polynomial control for linear systems
and zeros of entire functions
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Thursday, June 16
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Carelia Hall
(chair: A. Beardon)
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9.00-10.00
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J. Baik: Toeplitz and Fredholm determinants
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(chair: A. Gonchar)
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13.45-14.45
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A. Martínez-Finkelshtein: New results for
orthogonal polynomials on the unit circle
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M1
(chair: E. Saksman)
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10.20-10.55
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D. Minda: Conformal automorphisms of plane regions
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11.05-11.30
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S.-A. Kim: Invariant differential operators associated
with a conformal metric
|
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11.40-12.05
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H. Lindén: Gromov hyperbolicity of conformal
invariant metrics
|
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(chair: L. Lorentzen)
|
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15.00-15.35
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P. Hästö: Isometries of the Apollonian
metrics
|
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15.35-16.00
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O. Roth: Extension of a theorem of Heins and a
reflection principle for
conformal metrics
|
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(chair: S. Ponnusamy)
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16.30-16.55
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B. A. Stephen: Contractions of Noshiro-type subclass
of harmonic univalent functions
|
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17.05-17.30
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T. Rosy: On certain classes of analytic functions
of complex order
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17.40-18.05
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M2
(chair: H. Aikawa)
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10.20-10.55
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V. Gutlyanskii: Boundary regularity of conformal
maps with quasiconformal extension
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11.05-11.30
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J. Lewis: Some computational problems involving
harmonic and p-harmonic measure
|
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11.40-12.05
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M. Koskenoja: Capacities in variable exponent Sobolev
spaces
|
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(chair: A. Weitsman)
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15.00-15.25
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J. Pfaltzgraff: Extension operators and Loewner
theory in several variables
|
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15.35-16.00
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G. Kohr: Loewner chains and the Loewner differential
equation in several complex variables. Applications.
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(chair: T. Bulboaca)
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16.30-16.55
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I. Kayumov: Lower estimates of the integral means
for conformal maps
|
|
17.05-17.30
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P. Batra: On Goldberg's constant A2
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17.40-18.05
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L. Miller-Van Wieren: Univalence criteria for classes
of equiangular polygons
|
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M3
(chair: G. Csordas)
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|
10.20-10.55
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S. Shimomura: Nonlinear differential equations
with the quasi-Painlevé property
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11.05-11.30
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N. Toda: On a defect relation for holomorphic curves
|
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11.40-12.05
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S. Favorov: Zeros of entire functions of exponential
type bounded on real axis
|
|
(chair: C.-C. Yang)
|
|
15.00-15.25
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A. Jerbashian: On functions of ω-bounded
type in the half-plane
|
|
15.35-16.00
|
S. Merenkov: Rapidly growing entire functions with
three singular values
|
|
(chair: E. Wegert)
|
|
16.30-16.55
|
S. Bezrodnykh: A singular Riemann - Hilbert problem
with discontinuous coefficients and application
|
|
17.05-17.30
|
G. Semmler: Interpolation with Blaschke products
and Riemann-Hilbert problems
|
|
17.40-18.05
|
N. Zorii: Equilibrium problems for potentials with
external fields
|
|
M4
(chair: H.-P. Blatt)
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|
10.20-10.55
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A. Gonchar: Singular points of analytic functions
represented by continued fractions
|
|
11.05-11.30
|
W. Gautschi: Orthogonal polynomials (in Matlab)
|
|
11.40-12.05
|
L. Baratchart: On the convergence of meromorphic
approximants to Cauchy transforms
|
|
(chair: L. Baratchart)
|
|
15.00-15.25
|
A. Aptekarev: Equilibrium of vector potential and
asymptotics of Hermite-Pade approximants
|
|
15.35-16.00
|
V. Kalyagin: Computational problems for multiple
orthogonal polynomials
|
|
(chair: N. Stylianopoulos)
|
|
16.30-16.55
|
B. Osilenker: Polynomials orthogonal in the strengthed
Sobolev spaces
|
|
17.05-17.30
|
J. Tung: Zero sets and interpolating sets in Fock
spaces
|
|
17.40-18.05
|
Z. Navickas: Algebraic expressions of the analytical
functions
|
|
K2
(chair: J. M. Rappoport)
|
|
10.20-10.55
|
Sz. G. Révész: The right order of
Turán-type converse Markov inequalities for convex
domains on the plane
|
|
11.05-11.30
|
A. Bogatyrev: Navigation in the moduli spaces and
applications
|
|
11.40-12.05
|
K. Fedorovskiy: On the concept of a Nevanlinna
domain
|
|
(chair: P. Tamrazov)
|
|
15.00-15.25
|
G. Amiraliyev: A finite-difference method on piecewise
uniform meshes for singularly perturbed Sobolev equations
|
|
15.35-16.00
|
M. Demirci: Green function of discontinuous boundary
value problem with transmissions conditions
|
|
(chair: E. Petropoulou)
|
|
16.30-16.55
|
F. F. Lin: The optimal parameter selection in the
Talbot method for the numerical inversion of the Laplace transform
|
|
17.05-17.30
|
M. Nakano: Linear O.D.E.'s, WKB solutions, and
Riemann surfaces
|
|
17.40-18.05
|
A. Kuznetsov: An Avhadiev problem
|
Friday, June 17
|
Carelia Hall
(chair: O. Martio)
|
|
9.00-10.00
|
H. Hedenmalm: Boundary behaviour of conformal mappings
and weighted Bergman spaces
|
|
(chair: E. Saff)
|
|
15.25-16.25
|
D. Khavinson: The isoperimetric inequality revisited
through approximation theory: complex analytic approach, unanswered
questions, free boundary problems
|
|
M1
(chair: T. Suffridge)
|
|
10.20-10.45
|
J. Heittokangas: Blaschke-oscillatory equations
of the form f''+A(z)f=0
|
|
10.55-11.20
|
O. Sumyk: On the conjecture of Danikas and Ruscheweyh
|
|
11.30-11.55
|
M. Elin: Covering theorems for spirallike functions
with respect to a boundary point
|
|
(chair: S. Favorov)
|
|
13.30-13.55
|
J. Adepoju: Developments and trends in basic sets
theory
|
|
14.05-14.30
|
H. Sato: Jørgensen groups of parabolic type
|
|
14.40-15.05
|
M. Shiba: Hyperbolically maximal domains and fundamental
domains for a properly discontinuous group of conformal selfmappings
of a Riemann surface
|
|
M2
(chair: A. Cuyt)
|
|
10.20-10.45
|
O. Broch: On reflections in Jordan curves
|
|
10.55-11.20
|
G. Kamyshova: Extremal problems for Robin invariants
in some classes of domains
|
|
11.30-11.55
|
M. Agranovsky: Contact manifolds for holomorphic
functions and PDE
|
|
(chair: K. S. Chang)
|
|
13.30-13.55
|
L. S. Maergoiz: An analogue of the Paley-Wiener
theorem on integral representation for the space Wσp,
1<p<2
|
|
14.05-14.30
|
B. Atfeh: Bounded extremal and Cauchy-Laplace problems
on 3D spherical domains
|
|
14.40-15.05
|
V. Dolnikov: Projection-net approximation and optimal
cubature formulas
|
|
M3
(chair: A. Fernàndez)
|
|
10.20-10.45
|
K. Driver: Uniqueness of an orthogonality measure
|
|
10.55-11.20
|
A. Danielyan: On the uniqueness property of analytic
function and related questions
|
|
11.30-11.55
|
K. Tohge: Uniqueness theorems in an angular domain
|
|
(chair: V. Nestoridis)
|
|
13.30-13.55
|
J. D. Fournier: Padé table to functions
exhibiting a natural boundary
|
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14.05-14.30
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V. Vlasov: The multipole method for elliptic BVPs
in complex-shaped domains
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14.40-15.05
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V. Tikhomirov: Approximation and recovery of differential
and analytical functions (distinctions and similarities)
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M4
(chair: E. Karatsuba)
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10.20-10.45
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K. Osipenko: The Hardy-Littlewood-Pólya
inequality and optimal recovery of derivatives in Hardy spaces
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10.55-11.20
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L. F. Resendis: Fφ and Fg
classes
|
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11.30-11.55
|
C. Bénéteau: Extremal problems for
non-vanishing functions in Bergman spaces
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(chair: B. Osilenker)
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13.30-13.55
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S. Makhmutov: Meromorphic Besov functions
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14.05-14.30
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A. El-Sayed: On the coefficients of hyperholomorphic
Besov functions
|
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14.40-15.05
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R. Aulaskari: On Möbius invariant function
classes
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K2
(chair: Sz. G. Révész)
|
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10.20-10.45
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N. Flyer: On the nature of initial-boundary value
solutions and their ramifications for high-order methods
|
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10.55-11.20
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B. Fornberg: Radial basis functions - some recent
developments
|
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11.30-11.55
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K. S. Chang: Feynman's operational calculus for
a sequential operator-valued function space integral
|
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(chair: A. Vishnyakova)
|
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13.30-13.55
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A. Lecko: Strongly starlike and spirallike functions
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14.05-14.30
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A. Singh: Fatou components in angular region
|
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14.40-15.05
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A. Swaminathan: Mapping properties of basic hypergeometric
series
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Poster program:
(This is a tentative program)
Monday, June 13
13.00 - 17.00 Metria lobby (Authors present 13.00 - 13.30 and 16.00
- 16.30)
Poster stand number is given below.
1. A. Aasma: Some remarks on acceleration of summability
with matrix methods
2. O. A. Adesina: An L² convergence results for some
fifth order nonlinear differential equations
3. A. P. J. van Deursen: Numerical Schwarz-Christoffel
methods in EMC analysis
4. M. Ferreira: Monogenic frames and approximation on
the unit sphere
5. V. Klyachin: On stability of discrete constant mean
curvature surfaces
6. A. Kochetov: On some estimates for the difference of
solutions of the gas dynamics equation
7. M. Kohr: Boundary value problems for the Stokes resolvent
system
8. Y. Kuznets: The integral representation solving Cauchy
problem for linear differential systems with delay
9. G. Magaril-Il’yaev: Optimal recovery of heat equations
solutions by inaccurate input data
10. J. Marshall: Vortex motion through gaps in walls
11. A. Popovici: On a Nevanlinna-Pick interpolation problem
for generalized Nevanlinna functions
12. D. E. Popovici: Nevanlinna-Pick interpolation and
the Naimark dilation
13. T. K. Yuldashev: Initial value problem for a nonlinear
system of functional difference equations with nonlinear summary
deviation
14. M. Zavyalov: Harmonic modification of Prony algorithm
for systems of ordinary differential equations
Tuesday, June 14
13.00 - 17.00 Metria lobby (Authors present 13.00 - 13.30 and 16.00
- 16.30)
Poster stand number is given below.
1. Y. M. Chiang: On the growth of entire solutions to
some difference equations
2. C.-P. Curt: Biholomorphic mappings and quasiconformal
extension in several complex variables
3. M. Darus: Unified treatment of harmonic univalent functions
4. A. Glader: Nevanlinna-Pick interpolation in the unit
disc using eigenvalue techniques based on the interpolation data
5. J. Laitila: Composition operators on vector-valued
harmonic functions and Cauchy transforms
6. I. Nikolenko: On the growth of functions meromorphic
in the disk
7. S. Platonov: Some Bernstein type inequalities connected
with differential operator of Bessel for entire function
8. C. M. Pokhrel: On a subclass of DCP
9. R. Shamoyan: On inequalities for holomorphic Hardy-Lorentz
and BMOA - type spaces in the unit disk and characterizations of
p-Carleson measures
10. R. Trickey: On critical points and zeroes of certain
discrete potentials
11. O. Zhuk: The solution differential systems with delay
and with commutative matrixes
Thursday, June 16
13.00 - 17.00 Metria lobby
(Authors present 13.00 - 13.30 and 16.00 - 16.30)
Poster stand number is given below.
1. W. Ahmed: To be announced
2. D. N. Andoh-Kesson: To be announced
3. P. Kumar: To be announced
4. S. S. Kumar: On a class of meromorphic functions defined
by certain linear
operators
5. R. Küstner: On the order of starlikeness of the
right-shifted Gauss hypergeometric function
6. G. Lopez: Ratio asymptotic of multiorthogonal polynomials
7. D. Markose: On Keogh’s length estimate for starlike
functions
8. E. Minã-Díaz: Electrostatic mother bodies
and zeros of orthogonal polynomials on planar domains
9. D. Raducanu: Differential subordinations and superordinations
in the upper half-plane
10. A. Rakhnin: Subharmonic almost periodic functions
11. T. Rosy: Application of fractional calculus to uniformly
convex functions - II
12. O. I. Udodova: Spaces of holomorphic almost periodic
functions on a strip
13. V. Vlachou: Universal overconvergence and Ostrowski-gaps
14. B. Yarkulov: To be announced
15. M. Yattselev: A Remez-type theorem for homogeneous
polynomials
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