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 S. Stankovic,Paul L. 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 of |
丛书名称 | Atlantis Studies in Mathematics for Engineering and Science |
图书封面 |  |
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 |
关键词 | Walsh Functions; Dyadic Derivative; Butzer-Wagner Derivative; Approximation Theory; Harmonic Analysis |
版次 | 1 |
doi | https://doi.org/10.2991/978-94-6239-163-5 |
isbn_ebook | 978-94-6239-163-5Series ISSN 1875-7642 Series E-ISSN 2467-9631 |
issn_series | 1875-7642 |
copyright | Atlantis Press and the author(s) 2015 |