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Titlebook: Construction of Wavelets Through Walsh Functions; Yu. A. Farkov,Pammy Manchanda,Abul Hasan Siddiqi Book 2019 Springer Nature Singapore Pte

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發(fā)表于 2025-3-21 18:16:08 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Construction of Wavelets Through Walsh Functions
編輯Yu. A. Farkov,Pammy Manchanda,Abul Hasan Siddiqi
視頻videohttp://file.papertrans.cn/237/236081/236081.mp4
概述Focuses on the fusion of wavelets and Walsh analysis, involving non-trigonometric function series.Presents the basic properties of non-trigonometric orthonormal systems.Discusses the most important re
叢書名稱Industrial and Applied Mathematics
圖書封面Titlebook: Construction of Wavelets Through Walsh Functions; Yu. A. Farkov,Pammy Manchanda,Abul Hasan Siddiqi Book 2019 Springer Nature Singapore Pte
描述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..
出版日期Book 2019
關(guān)鍵詞Walsh Functions; Wavelets; Haar Function; Haar-Vilenkin Wavelet; Non-uniform Haar Wavelets; Generalized H
版次1
doihttps://doi.org/10.1007/978-981-13-6370-2
isbn_softcover978-981-13-6372-6
isbn_ebook978-981-13-6370-2Series ISSN 2364-6837 Series E-ISSN 2364-6845
issn_series 2364-6837
copyrightSpringer Nature Singapore Pte Ltd. 2019
The information of publication is updating

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,Haar–Fourier Analysis,Function system in which Haar system was introduced. Supervisor of Haar, David Hilbert at G?ttingen university asked him to find an orthonormal system on the interval whose Fourier series of continuous functions converges uniformly. He constructed the system which is under discussion in this chapter
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Construction Biorthogonal Wavelets and Frames,nkin group, and application of biorthogonal dyadic wavelets to image processing are presented and these results are discussed in more detail Farkov (Facta Univers (Nis) ser. Elec Eng 21: 309–325, 2008), Farkov, Maksimov, and Stroganov (Int. J. Wavelets Multiresolution Inf Process 9: 485–499, 2011),
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Wavelets Associated with Nonuniform Multiresolution Analysis on Positive Half Line,and is based on the theory of spectral pairs. In this set up, the associated subspace . of . has, as an orthonormal basis, a collection of translates of the scaling function . of the form . where ., . is an integer and . is an odd integer with . such that . and . are relatively prime and . is the se
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