Advertisement

Construction of Wavelets Through Walsh Functions

  • Yu. A. Farkov
  • Pammy Manchanda
  • Abul Hasan Siddiqi

Part of the Industrial and Applied Mathematics book series (INAMA)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 1-25
  3. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 27-78
  4. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 79-98
  5. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 99-170
  6. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 171-234
  7. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 235-252
  8. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 253-282
  9. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 283-315
  10. Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
    Pages 317-358
  11. Back Matter
    Pages 359-381

About this book

Introduction

This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh–Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar–Vilenkin system, Walsh system, wavelet system and frame system, as well as updated results on the book’s main theme. 

Based on lectures that the authors presented at several international conferences, the notions and concepts introduced in this interdisciplinary book can be applied to any situation where wavelets and their variants are used. Most of the applications of wavelet analysis and Walsh analysis can be tried for newly constructed wavelets. Given its breadth of coverage, the book offers a valuable resource for theoreticians and those applying mathematics in diverse areas. It is especially intended for graduate students of mathematics and engineering and researchers interested in applied analysis.

Keywords

Walsh Functions Wavelets Haar Function Haar-Vilenkin Wavelet Non-uniform Haar Wavelets Generalized Haar Wavelets

Authors and affiliations

  • Yu. A. Farkov
    • 1
  • Pammy Manchanda
    • 2
  • Abul Hasan Siddiqi
    • 3
  1. 1.Department of Applied Information Technology, School of Public PolicyRussian Presidential Academy of National Economy and Public Administration (RANEPA)MoscowRussia
  2. 2.Department of MathematicsGuru Nanak Dev UniversityAmritsarIndia
  3. 3.School of Basic Sciences and Research and Centre for Advanced Research in Applied Mathematics and PhysicsSharda UniversityGreater NoidaIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-6370-2
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-6369-6
  • Online ISBN 978-981-13-6370-2
  • Series Print ISSN 2364-6837
  • Series Online ISSN 2364-6845
  • Buy this book on publisher's site
Industry Sectors
Pharma
Automotive
Chemical Manufacturing
Biotechnology
Finance, Business & Banking
IT & Software
Telecommunications