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Construction of wavelets through Walsh functions

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Construction of wavelets through Walsh functions/ by Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi.
Author:	Farkov, Yu. A.
other author:	Manchanda, Pammy.
Published:	Singapore :Springer Singapore : : 2019.,
Description:	xxii, 382 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Wavelets (Mathematics) -
Online resource:	https://doi.org/10.1007/978-981-13-6370-2
ISBN:	9789811363702

Construction of wavelets through Walsh functions
Farkov, Yu. A.

Construction of wavelets through Walsh functions[electronic resource] /by Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi. - Singapore :Springer Singapore :2019. - xxii, 382 p. :ill., digital ;24 cm. - Industrial and applied mathematics,2364-6837. - Industrial and applied mathematics..

Chapter 1. Introduction to Walsh Analysis and Wavelets -- Chapter 2. Walsh-Fourier Series -- Chapter 3. Haar-Fourier Analysis -- Chapter 4. Construction of Dyadic Wavelets through Walsh Functions -- Chapter 5. Orthogonal And Periodic Wavelets On Vilenkin Groups -- Chapter 6. Haar-Vilenkin Wavelet -- Chapter 7. Construction Biorthogonal Wavelets and Frames -- Chapter 8. Wavelets associated with Nonuniform Multiresolution analysis on positive half line -- Chapter 9. Orthogonal Vector Valued Wavelets on R+ -- Appendices.

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.

ISBN: 9789811363702

Standard No.: 10.1007/978-981-13-6370-2doiSubjects--Topical Terms:

528163
Wavelets (Mathematics)

LC Class. No.: QA403.3 / .F37 2019

Dewey Class. No.: 515.2433

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245 1 0 $a Construction of wavelets through Walsh functions $h [electronic resource] / $c by Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi.
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505 0 $a Chapter 1. Introduction to Walsh Analysis and Wavelets -- Chapter 2. Walsh-Fourier Series -- Chapter 3. Haar-Fourier Analysis -- Chapter 4. Construction of Dyadic Wavelets through Walsh Functions -- Chapter 5. Orthogonal And Periodic Wavelets On Vilenkin Groups -- Chapter 6. Haar-Vilenkin Wavelet -- Chapter 7. Construction Biorthogonal Wavelets and Frames -- Chapter 8. Wavelets associated with Nonuniform Multiresolution analysis on positive half line -- Chapter 9. Orthogonal Vector Valued Wavelets on R+ -- Appendices.
520 $a 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.
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