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＜電子ブック＞
Construction of Wavelets Through Walsh Functions / by Yu. A. Farkov, Pammy Manchanda, Abul Hasan Siddiqi
(Industrial and Applied Mathematics. ISSN:23646845)

版	1st ed. 2019.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XXII, 381 p : online resource
著者標目	*Farkov, Yu. A author Manchanda, Pammy author Siddiqi, Abul Hasan author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis FREE:Analysis
一般注記	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 andresearchers interested in applied analysis HTTP:URL=https://doi.org/10.1007/978-981-13-6370-2

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