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  • Conference proceedings
  • © 2021

Extended Abstracts Fall 2019

Spaces of Analytic Functions: Approximation, Interpolation, Sampling

Birkhäuser
  • 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
  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. A New Life of the Classical Szegő Formula

    • Roman Bessonov, Sergey Denisov
    Pages 31-36
  6. De Branges Canonical Systems with Finite Logarithmic Integral

    • Roman V. Bessonov, Sergey A. Denisov
    Pages 37-41
  7. Toeplitz and Hankel Operators on Bergman Spaces

    • M. Bourass, O. El-Fallah, I. Marrhich, H. Naqos
    Pages 51-57
  8. On Zeros of Solutions of a Linear Differential Equation

    • Igor Chyzhykov, Jianren Long
    Pages 65-68
  9. Shift-Invariant Spaces of Entire Functions

    • Karlheinz Gröchenig
    Pages 81-87
  10. Two Problems on Homogenization in Geometry

    • Oleg Ivrii, Vladimir Marković
    Pages 99-103

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

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access