| 书目名称 | Fourier Analysis on Finite Abelian Groups | | 编辑 | Bao Luong | | 视频video | | | 概述 | Examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform to finite Abelian groups.Provides countless examples and | | 丛书名称 | Applied and Numerical Harmonic Analysis | | 图书封面 |  | | 描述 | .Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, algorithms and sequence design. This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform to finite Abelian groups...With countless examples and unique exercise sets at the end of each section, Fourier Analysis on Finite Abelian Groups is a perfect companion to a first course in Fourier analysis. The first chapter provides the fundamental material that is a strong foundation for all subsequent chapters...Special topics including:..* Computing Eigenvalues of the Fourier transform..* Applications to Banach algebras..* Tensor decompositions of the Fourier transform..* Quadratic Gaussian sums...This book introduces mathematics students to subjects that are within their reach, but it also has powerful applications that may appeal to advanced researchers and mathematicians. The only prerequisites necessary are group theory, linear algebra, and complex analysis.. | | 出版日期 | Textbook 2009 | | 关键词 | Banach algebras; Chebyshev systems; Fourier transform; Gaussian sums; algebra; finite abelian groups; quad | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4916-6 | | isbn_ebook | 978-0-8176-4916-6Series ISSN 2296-5009 Series E-ISSN 2296-5017 | | issn_series | 2296-5009 | | copyright | Birkhäuser Boston 2009 |
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发表于 2025-3-21 18:51:08
