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Titlebook: Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume ; A Monograph Based on Radomir S. Stank

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發(fā)表于 2025-3-21 19:37:55 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume
副標(biāo)題A Monograph Based on
編輯Radomir S. Stankovic,Paul L. Butzer,Franz Pichler
視頻videohttp://file.papertrans.cn/284/283481/283481.mp4
概述A unique development of a field by seven founding authors, together with reproductions of some of their basic papers.Applications to dyadic differential equations, approximation theory, etc.Reviews of
叢書名稱Atlantis Studies in Mathematics for Engineering and Science
圖書封面Titlebook: Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume ; A Monograph Based on Radomir S. Stank
描述The second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications. Considered are dyadic derivatives on Vilenkin groups and various other Abelian and finite non-Abelian groups. Since some important results were developed in former Soviet Union and China, we provide overviews of former work in these countries. Further, we present translations of three papers that were initially published in Chinese. The presentation continues with chapters written by experts in the area presenting discussions of applications of these results in specific tasks in the area of signal processing and system theory.?.Efficient computing of related differential operators on contemporary hardware, including graphics processing units, is also considered, which makes the methods and techniques of dyadic analysis and generalizations computationally feasible..The volume 2 of the book ends with a chapter presenting open problems pointed out by several experts in the area..
出版日期Book 2015
關(guān)鍵詞Walsh Functions; Dyadic Derivative; Butzer-Wagner Derivative; Approximation Theory; Harmonic Analysis
版次1
doihttps://doi.org/10.2991/978-94-6239-163-5
isbn_ebook978-94-6239-163-5Series ISSN 1875-7642 Series E-ISSN 2467-9631
issn_series 1875-7642
copyrightAtlantis Press and the author(s) 2015
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發(fā)表于 2025-3-21 22:33:10 | 只看該作者
Early Work in Gibbs Differentiation in Soviet Union - SSSR,efly discuss the interest in this area in former Soviet Union and then present in more details a review of the recent work in this area in Russia. The present state-of-the-art in research in this field in Russia is discussed in two separate chapters that follow.
板凳
發(fā)表于 2025-3-22 01:40:13 | 只看該作者
Research in Dyadic Differentiation in Russia,sults in this field were published in the books [1] - [3]. There exists a monograph [4] on fractional integrals and derivatives, but these integrals and derivatives are not dyadic ones. All results on dyadic differentiation or dyadic integration are written recently in Russia, but not in former Sovi
地板
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發(fā)表于 2025-3-22 22:11:37 | 只看該作者
Rogier Crijns,Nina D?rner,Philip LangThis chapter presents a brief review of former research in the area of Gibbs differentiation in P.R. China until 1990.
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發(fā)表于 2025-3-23 03:45:44 | 只看該作者
Marion Graggober,Johann Ortner,Martin SammerLet . be a sequence of natural numbers such that ..?≥?2. We denote by . the discrete cyclic group {0, 1, …, ..???1} of order .. with addition modulo ...
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