书目名称 | Fourier Analysis and Convexity | 编辑 | Luca Brandolini,Leonardo Colzani,Alex Iosevich | 视频video | | 概述 | Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances.Presents new results and applicat | 丛书名称 | Applied and Numerical Harmonic Analysis | 图书封面 |  | 描述 | .Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz’s proof of the isoperimetric inequality using Fourier series. ...This unified, self-contained book presents both a broad overview of Fourier analysis and convexity, as well as an intricate look at applications in some specific settings; it will be useful to graduate students and researchers in harmonic analysis, convex geometry, functional analysis, number theory, computer science, and combinatorial analysis. A wide audience will benefit from the careful demonstration of how Fourier analysis is used to distill the essence of many mathematical problems in a natural and elegant way.. | 出版日期 | Book 2004 | 关键词 | Fourier transform; calculus; distribution; functional analysis; harmonic analysis; linear optimization; nu | 版次 | 1 | doi | https://doi.org/10.1007/978-0-8176-8172-2 | isbn_softcover | 978-1-4612-6474-3 | isbn_ebook | 978-0-8176-8172-2Series ISSN 2296-5009 Series E-ISSN 2296-5017 | issn_series | 2296-5009 | copyright | Springer Science+Business Media New York 2004 |
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