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Construction of wavelets through Wal...

Farkov, Yu. A.

Construction of wavelets through Walsh functions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Construction of wavelets through Walsh functionsby Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi.
作者:	Farkov, Yu. A.
其他作者:	Manchanda, Pammy.
出版者:	Singapore :Springer Singapore :2019.
面頁冊數:	xxii, 382 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Wavelets (Mathematics)
電子資源:	https://doi.org/10.1007/978-981-13-6370-2
ISBN:	9789811363702$q(electronic bk.)

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$q(electronic bk.)

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

182734
Wavelets (Mathematics)

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

Dewey Class. No.: 515.2433

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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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