| 书目名称 | Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series | | 编辑 | Lars-Erik Persson,George Tephnadze,Ferenc Weisz | | 视频video | | | 概述 | Involves several applications (signal transmission, multiplexing, filtering, image enhancement, code theory).Develops the theory of Vilenkin-Fourier series in the harmonic analysis context.Connects cl | | 图书封面 |  | | 描述 | This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis..The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continuous waves the Vilenkin (Walsh) functions are rectangular waves. Such waves have already been used frequently in the theory of signal transmission, multiplexing, filtering, image enhancement, code theory, digital signal processing and pattern recognition. The development of the theory of Vilenkin-Fourier series has been strongly influenced by the classical theory of trigonometric series. Because of this it is inevitable to compare results of Vilenkin-Fourier series to those on trigonometric series. There are many similarities between these theories, but there exist differences also. Much of these can be explained by modern abstract harmonic analysis, which studies orthonormal systems from the point of view of the structure of a topological group..The first part of the book can be used as an introduction to the subject, and the following chapters summarize the most recent research in this fascinating area and can be read independently. Each chapter | | 出版日期 | Book 2022 | | 关键词 | Harmonic Analysis; Vilenkin Groups; Vilenkin Systems; Lebesgue Spaces; Weak-Lp Spaces; Modulus of Continu | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-14459-2 | | isbn_softcover | 978-3-031-14461-5 | | isbn_ebook | 978-3-031-14459-2 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:15:05
