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Extended Abstracts Fall 2019

Spaces of Analytic Functions: Approximation, Interpolation, Sampling

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Evgeny Abakumov

    1. Laboratoire d'Analyse et de Mathématiques Appliquées, Université Gustave Eiffel, Marne-la-Vallée, France

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  2. Anton Baranov

    1. Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

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  3. Alexander Borichev

    1. Institut de Mathématiques de Marseille, Aix Marseille Université, Marseille, France

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  4. Konstantin Fedorovskiy

    1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

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  5. Joaquim Ortega-Cerdà

    1. Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Barcelona, Spain

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  • Covers a wide spectrum of topics in contemporary analysis
  • Opens new perspectives for future research in the domain

Part of the book series: Trends in Mathematics (TM, volume 12)

Part of the book sub series: Research Perspectives CRM Barcelona (RPCRMB)

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Table of contents (28 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Intensive Research Program ‘Spaces of Analytic Functions: Approximation, Interpolation, Sampling’

    • Evgeny Abakumov, Anton Baranov, Alexander Borichev, Konstantin Fedorovskiy, Joaquim Ortega-Cerdà
    Pages 1-7

  3. Comparison of Clark Measures in Several Complex Variables

    • Aleksei B. Aleksandrov, Evgueni Doubtsov
    Pages 9-16

  4. On Spectrum of a Class of Jacobi Matrices on Graph-Trees and Multiple Orthogonal Polynomials

    • Alexander I. Aptekarev, Sergey A. Denisov, Maxim L. Yattselev
    Pages 17-24

  5. Geometric Properties of Reproducing Kernels in Hilbert Spaces of Entire Functions

    • Yurii Belov
    Pages 25-30

  6. A New Life of the Classical Szegő Formula

    • Roman Bessonov, Sergey Denisov
    Pages 31-36

  7. De Branges Canonical Systems with Finite Logarithmic Integral

    • Roman V. Bessonov, Sergey A. Denisov
    Pages 37-41

  8. Rate of Convergence of Critical Interfaces to SLE Curves

    • Ilia Binder
    Pages 43-50

  9. Toeplitz and Hankel Operators on Bergman Spaces

    • M. Bourass, O. El-Fallah, I. Marrhich, H. Naqos
    Pages 51-57

  10. Bounds for Zeta and Primes via Fourier Analysis

    • Emanuel Carneiro
    Pages 59-64

  11. On Zeros of Solutions of a Linear Differential Equation

    • Igor Chyzhykov, Jianren Long
    Pages 65-68

  12. On Riesz Bases of Exponentials for Convex Polytopes with Symmetric Faces

    • Alberto Debernardi, Nir Lev
    Pages 69-72

  13. Remez-Type Inequalities and Their Applications

    • Omer Friedland
    Pages 73-79

  14. Shift-Invariant Spaces of Entire Functions

    • Karlheinz Gröchenig
    Pages 81-87

  15. Describing Blaschke Products by Their Critical Points

    • Oleg Ivrii
    Pages 89-98

  16. Two Problems on Homogenization in Geometry

    • Oleg Ivrii, Vladimir Marković
    Pages 99-103

  17. Toeplitz Operators Between Distinct Abstract Hardy Spaces

    • Alexei Karlovich
    Pages 105-112

  18. Polynomial Hermite Padé m-System and Reconstruction of the Values of Algebraic Functions

    • Aleksandr Komlov
    Pages 113-121

  19. Quantitative Szegő Minimum Problem for Some non-Szegő Measures

    • Anna Kononova
    Pages 123-127

  20. Hausdorff Dimension Exceptional Set Estimates for Projections, Sections and Intersections

    • Pertti Mattila
    Pages 129-136
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Keywords

About this book

This book collects the abstracts of  the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.

The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their applications to spectral theory, Gabor analysis and random analytic functions. In many places in the book, we see how a problem related to one of the topics is tackled with techniques and ideas coming from another.

The book will be of interest for specialists in Complex Analysis, Function and Operator theory, Approximation theory, and their applications, but also for young people starting their research in these areas.


Editors and Affiliations

  • Laboratoire d'Analyse et de Mathématiques Appliquées, Université Gustave Eiffel, Marne-la-Vallée, France

    Evgeny Abakumov

  • Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

    Anton Baranov

  • Institut de Mathématiques de Marseille, Aix Marseille Université, Marseille, France

    Alexander Borichev

  • Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    Konstantin Fedorovskiy

  • Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Barcelona, Spain

    Joaquim Ortega-Cerdà

Bibliographic Information

  • Book Title: Extended Abstracts Fall 2019

  • Book Subtitle: Spaces of Analytic Functions: Approximation, Interpolation, Sampling

  • Editors: Evgeny Abakumov, Anton Baranov, Alexander Borichev, Konstantin Fedorovskiy, Joaquim Ortega-Cerdà

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-74417-5

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Softcover ISBN: 978-3-030-74416-8Published: 19 November 2021

  • eBook ISBN: 978-3-030-74417-5Published: 19 November 2021

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: IX, 225

  • Number of Illustrations: 3 b/w illustrations, 4 illustrations in colour

  • Topics: Functions of a Complex Variable, Approximations and Expansions, Functional Analysis

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