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Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations

A Monograph Based on Articles of the Founding Authors, Reproduced in Full

  • Radomir S. Stankovic
  • Paul L. Butzer
  • Ferenc Schipp
  • William R. Wade
  • Weiyi Su
  • Yasushi Endow
  • Sandor Fridli
  • Boris I. Golubov
  • Franz Pichler
Book

Part of the Atlantis Studies in Mathematics for Engineering and Science book series (ASMES, volume 13)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Radomir S. Stanković, Paul L. Butzer
    Pages 93-124
  3. Boris I. Golubov, Sergei S. Volosivets
    Pages 125-129
  4. Boris I. Golubov, Sergei S. Volosivets
    Pages 131-143
  5. György Gát, Rodolfo Toledo
    Pages 145-156
  6. Radomir S. Stanković
    Pages 157-168
  7. Radomir S. Stanković
    Pages 169-210
  8. Radomir S. Stanković, Dušan Gajić
    Pages 211-276
  9. Yasushi Endow
    Pages 277-295
  10. Yasushi Endow, Boris I. Golubov, Weiyi Su, W. X. Zheng, Ushangi Goginava
    Pages 325-332
  11. Back Matter
    Pages 333-360

About this book

Introduction

The second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications. Considered are dyadic derivatives on Vilenkin groups and various other Abelian and finite non-Abelian groups. Since some important results were developed in former Soviet Union and China, we provide overviews of former work in these countries. Further, we present translations of three papers that were initially published in Chinese. The presentation continues with chapters written by experts in the area presenting discussions of applications of these results in specific tasks in the area of signal processing and system theory. 

Efficient computing of related differential operators on contemporary hardware, including graphics processing units, is also considered, which makes the methods and techniques of dyadic analysis and generalizations computationally feasible.

The volume 2 of the book ends with a chapter presenting open problems pointed out by several experts in the area.

Keywords

Walsh Functions Dyadic Derivative Butzer-Wagner Derivative Approximation Theory Harmonic Analysis

Authors and affiliations

  • Radomir S. Stankovic
    • 1
  • Paul L. Butzer
    • 2
  • Ferenc Schipp
    • 3
  • William R. Wade
    • 4
  • Weiyi Su
    • 5
  • Yasushi Endow
    • 6
  • Sandor Fridli
    • 7
  • Boris I. Golubov
    • 8
  • Franz Pichler
    • 9
  1. 1.Faculty of Electronic EngineeringNisSerbia
  2. 2.Lehrstuhl A für MathematikRWTH AachenAachenGermany
  3. 3.Numerical AnalysisEötvös Loránd UniversityBudapestHungary
  4. 4.Math. and Computer ScienceBIOLA UniversityLa MirandaUSA
  5. 5.MathematicsNanjing UniversityNanjingChina
  6. 6.Chuo UniversityHachioji-shi, TokyoJapan
  7. 7.Numerical AnalysisEötvös Loránd UniversityBudapestHungary
  8. 8.Technologies (State University)Moscow Institute of PhysicalDolgoprudnyRussia
  9. 9.Johannes Kepler University LinzLinzAustria

Bibliographic information

  • DOI https://doi.org/10.2991/978-94-6239-163-5
  • Copyright Information Atlantis Press and the author(s) 2015
  • Publisher Name Atlantis Press, Paris
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-94-6239-162-8
  • Online ISBN 978-94-6239-163-5
  • Series Print ISSN 1875-7642
  • Series Online ISSN 2467-9631
  • Buy this book on publisher's site