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Decay of the Fourier Transform : Analytic and Geometric Aspects.
・ISBN 978-3-0348-0624-4 hard EUR 109.99
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| 著者・編者 | Iosevich, Alex / Liflyand, Elijah, |
|---|---|
| 出版社 | (Springer Basel, SZ) |
| 出版年月 | 2014 |
| ページ数 | 222 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-19720> |
解説
The Plancherel formula says that the L^2 norm of the function is equal to the L^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L^2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original L^2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.?