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Topics in Classical and Modern Analysis

In Memory of Yingkang Hu

  • Martha Abell
  • Emil Iacob
  • Alex Stokolos
  • Sharon Taylor
  • Sergey Tikhonov
  • Jiehua Zhu
Book

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Yingkang

    1. Front Matter
      Pages 1-18
    2. Kirill A. Kopotun, Dany Leviatan, Igor A. Shevchuk
      Pages 19-31
  3. Approximation Theory, Harmonic and Complex Analysis, Splines and Classical Fourier Theory

    1. Front Matter
      Pages 33-33
    2. Vladyslav Babenko, Yuliya Babenko, Oleg Kovalenko
      Pages 47-64
    3. Alberto Debernardi
      Pages 87-104
    4. Jimmy Dillies
      Pages 105-108
    5. Dmitriy Dmitrishin, Ionut E. Iacob, Ivan Skrinnik, Alex Stokolos
      Pages 109-125
    6. Dmitriy Dmitrishin, Paul Hagelstein, Alex Stokolos
      Pages 127-133
    7. Michael I. Ganzburg, Elijah Liflyand
      Pages 147-158
    8. Ainur Jumabayeva, Boris Simonov
      Pages 159-182
    9. Egor K. Kulikov, Anton A. Makarov
      Pages 211-225
    10. Elijah Liflyand, Ulrich Stadtmüller
      Pages 227-240
    11. Anastasiia Minenkova, Olga Trofimenko
      Pages 279-291
    12. Andriy Prymak, Olena Usoltseva
      Pages 293-302
    13. Vladimir N. Temlyakov
      Pages 315-330
  4. Back Matter
    Pages 369-373

About this book

Introduction

Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume. The topics included are Fourier analysis, Padè approximation, dynamical systems and difference operators, splines, Christoffel functions, best approximation, discrepancy theory and Jackson-type theorems of approximation. The articles of this collection were originated from the International Conference in Approximation Theory, held in Savannah, GA in 2017, and organized by the editors of this volume.

Keywords

approximation theory padè approximation splines dynamical systems fourier series frames

Editors and affiliations

  • Martha Abell
    • 1
  • Emil Iacob
    • 2
  • Alex Stokolos
    • 3
  • Sharon Taylor
    • 4
  • Sergey Tikhonov
    • 5
  • Jiehua Zhu
    • 6
  1. 1.Georgia Southern UniversityStatesboroUSA
  2. 2.Georgia Southern UniversityStatesboroUSA
  3. 3.Georgia Southern UniversityStatesboroUSA
  4. 4.Georgia Southern UniversityStatesboroUSA
  5. 5.ICREA, Passeig de Lluís Companys, Barcelona, Spain ; Centre de Recerca MatemàticaBarcelonaSpain
  6. 6.Georgia Southern UniversityStatesboroUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-12277-5
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-12276-8
  • Online ISBN 978-3-030-12277-5
  • Series Print ISSN 2296-5009
  • Series Online ISSN 2296-5017
  • Buy this book on publisher's site