Decay of the Fourier Transform
| Autor: | Alex Iosevich, Elijah Liflyand |
|---|---|
| EAN: | 9783034806251 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 01.10.2014 |
| Untertitel: | Analytic and Geometric Aspects |
| Kategorie: | |
| Schlagworte: | Fourier transform bounded variation curvature decay rate spherical average |
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Bücher sind in der Regel innerhalb von 1-2 Werktagen abholbereit.
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.?
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