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Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations

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

  • Radomir Stankovic
  • Paul Leo Butzer
  • 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 12)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. William R. Wade
    Pages 1-36
  3. Radomir S. Stanković, Ferenc Schipp
    Pages 89-160
  4. Sándor Fridli, Ferenc Schipp
    Pages 209-234
  5. Kees (C.W.) Onneweer
    Pages 247-313
  6. William R. Wade
    Pages 359-441
  7. Boris I. Golubov
    Pages 443-447
  8. Back Matter
    Pages 453-455

About this book

Introduction

Dyadic (Walsh) analysis emerged as a new research area in applied mathematics and engineering in early seventies within attempts to provide answers to demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals. In the meantime, it evolved in a mature mathematical discipline with fundamental results and important features providing basis for various applications. The book will provide fundamentals of the area through reprinting carefully selected earlier publications followed by  overview of recent results concerning particular subjects in the area written by experts, most of them being founders of the field, and some of their followers. In this way, this first volume of the two volume book offers a rather complete coverage of the development of dyadic Walsh analysis, and provides a deep insight into its mathematical foundations necessary for consideration of generalizations and applications that are the subject of the second volume. The presented theory is quite sufficient to be a basis for further research in the subject area as well as to be applied in solving certain new problems or improving existing solutions for tasks in the areas which motivated development of the dyadic analysis.

Keywords

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

Authors and affiliations

  • Radomir Stankovic
    • 1
  • Paul Leo Butzer
    • 2
    • 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.BudapestHungary
  4. 4.Math. and Computer ScienceBIOLA UniversityLa MirandaUSA
  5. 5.MathematicsNanjing UniversityNanjingChina
  6. 6.Chuo UniversityTokyoJapan
  7. 7.Numerical AnalysisEötvös Loránd UniversityBudapestHungary
  8. 8.Technologies (State University)Moscow Institute of PhysicalMoscowRussia
  9. 9.System TheoryJohannes Kpeler University, LinzLinzAustria

Bibliographic information

  • DOI https://doi.org/10.2991/978-94-6239-160-4
  • Copyright Information Atlantis Press and the author(s) 2015
  • Publisher Name Atlantis Press, Paris
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-94-6239-159-8
  • Online ISBN 978-94-6239-160-4
  • Series Print ISSN 1875-7642
  • Series Online ISSN 2467-9631
  • Buy this book on publisher's site