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Distributions in the Physical and Engineering Sciences

Distributional and Fractal Calculus, Integral Transforms and Wavelets

  • Alexander I. Saichev
  • Wojbor A. Woyczyński

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

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Distributions and their Basic Applications

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

    1. Front Matter
      Pages 73-73
    2. Alexander I. Saichev, Wojbor A. Woyczyński
      Pages 75-91
    3. Alexander I. Saichev, Wojbor A. Woyczyński
      Pages 93-135
    4. Alexander I. Saichev, Wojbor A. Woyczyński
      Pages 137-148
    5. Alexander I. Saichev, Wojbor A. Woyczyński
      Pages 149-182
    6. Alexander I. Saichev, Wojbor A. Woyczyński
      Pages 183-244
    7. Alexander I. Saichev, Wojbor A. Woyczyński
      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 practioners and researchers. The goal of the book is to give the reader, specialist and non-specialist useable 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 Mathematics Physics Signal Singular integral Wavelet calculus integral transform

Authors and affiliations

  • Alexander I. Saichev
    • 1
  • Wojbor A. Woyczyński
    • 2
  1. 1.Radio Physics DepartmentUniversity of Nizhniy NovgorodNizhniy NovgorodRussia
  2. 2.Department of Statistics and Center for Stochastic and Chaotic Processes in Science and TechnologyCase Western Reserve UniversityClevelandUSA

Bibliographic information