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Distributions in the Physical and Engineering Sciences, Volume 1

Distributional and Fractal Calculus, Integral Transforms and Wavelets

  • Alexander I. Saichev
  • Wojbor Woyczynski

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

Table of contents

  1. Front Matter
    Pages i-xx
  2. Distributions and Their Basic Applications

    1. Front Matter
      Pages 1-1
    2. Alexander I. Saichev, Wojbor Woyczynski
      Pages 3-35
    3. Alexander I. Saichev, Wojbor Woyczynski
      Pages 37-72
  3. Integral Transforms and Divergent Series

    1. Front Matter
      Pages 73-73
    2. Alexander I. Saichev, Wojbor Woyczynski
      Pages 75-91
    3. Alexander I. Saichev, Wojbor Woyczynski
      Pages 93-135
    4. Alexander I. Saichev, Wojbor Woyczynski
      Pages 137-148
    5. Alexander I. Saichev, Wojbor Woyczynski
      Pages 149-182
    6. Alexander I. Saichev, Wojbor Woyczynski
      Pages 183-244
    7. Alexander I. Saichev, Wojbor Woyczynski
      Pages 245-285
  4. Back Matter
    Pages 287-336

About this book

Introduction

Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practitioners and researchers. The goal of the book is to give the reader, specialist and non-specialist usable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. 

Keywords

Fourier transform Haar wavelet singular integral wavelets wavelet transform Cauchy integral

Authors and affiliations

  • Alexander I. Saichev
    • 1
  • Wojbor Woyczynski
    • 2
  1. 1.Mathematical DepartmentState University of Nizhny NovgorodNizhny NovgorodRussia
  2. 2.Department of Mathematics, Applied Mathematics and StatisticsCase Western Reserve UniversityClevelandUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-97958-8
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-97957-1
  • Online ISBN 978-3-319-97958-8
  • Series Print ISSN 2296-5009
  • Series Online ISSN 2296-5017
  • Buy this book on publisher's site