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

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发表于 2025-3-21 19:09:37 | 显示全部楼层 |阅读模式
书目名称Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume
副标题A Monograph Based on
编辑Radomir Stankovic,Paul Leo Butzer,Franz Pichler
视频video
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 o
丛书名称Atlantis Studies in Mathematics for Engineering and Science
图书封面Titlebook: Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume ; A Monograph Based on Radomir Stankovi
描述Dyadic (Walsh) analysis emerged as a new research area in applied mathematics and engineering in early seventies within attempts to provide answers to demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals. In the meantime, it evolved in a mature mathematical discipline with fundamental results and important features providing basis for various applications. The book will provide fundamentals of the area through reprinting carefully selected earlier publications followed by  overview of recent results concerning particular subjects in the area written by experts, most of them being founders of the field, and some of their followers. In this way, this first volume of the two volume book offers a rather complete coverage of the development of dyadic Walsh analysis, and provides a deep insight into its mathematical foundations necessary for consideration of generalizations and applications that are the subject of the second volume. The presented theory is quite sufficient to be a basis for further research in the subject area as well as to be applied in solving certain new problems or improvin
出版日期Book 2015
关键词Walsh Functions; Dyadic Derivative; Butzer-Wagner Derivative; Approximation Theory; Harmonic Analysis
版次1
doihttps://doi.org/10.2991/978-94-6239-160-4
isbn_ebook978-94-6239-160-4Series ISSN 1875-7642 Series E-ISSN 2467-9631
issn_series 1875-7642
copyrightAtlantis Press and the author(s) 2015
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发表于 2025-3-21 20:42:33 | 显示全部楼层
Fachsprachlichkeit — eine Frage des Wissensese different concepts due to their peculiar features. Probably the most important and most widely investigated among them is the Butzer-Wagner derivative. Various other generalizations, for instance .-adic derivative and fractional .-adic derivative, have also attracted a lot of attention and have certain interesting applications.
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发表于 2025-3-22 07:42:20 | 显示全部楼层
Fachsprachlichkeit — eine Frage des Wissens teacher. After graduation in 1962 I stayed at the University and started working there as an assistant. At that time I established a closer professional connection with an older colleague of mine, László Pál, who had been an aspirant of Frigyes Riesz.
发表于 2025-3-22 11:43:53 | 显示全部楼层
Book 2015 demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals. In the meantime, it evolved in a mature mathematical discipline with fundamental results and important features providing basis for various applicatio
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Fachsprachlichkeit — eine Frage des Wissens The second one is to best approximation of ..(0,1)—functions by Walsh polynomials. Sect. 4.5 concerns dyadic Haar analysis as well as dyadic derivatives of fractional order. They demonstrate the applicability of dyadic analysis.
发表于 2025-3-23 04:14:58 | 显示全部楼层
Early History of Walsh Analysis,em shows that Haar-Fourier series of Lebesgue integrable functions converge almost everywhere. Here, then, is an orthonormal system with the sparkling convergence properties that had been envisioned for the trigonometric system by its creators.
发表于 2025-3-23 08:21:45 | 显示全部楼层
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