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商品詳細
Fourier Analysis and Convexity. Softcover reprint of the original 1st ed. 2004.
・ISBN 978-1-4612-6474-3 paper EUR 49.99
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| 著者・編者 | Brandolini, Luca / Colzani, Leonardo / Iosevich, Alex / Travaglini, Giancarlo (eds.), |
|---|---|
| シリーズ | Applied and Numerical Harmonic Analysis |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2012 |
| ページ数 | 268 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-16900> |
解説
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.