Decay of the Fourier Transform Analytic and Geometric Aspects
The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions an...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
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Basel
Birkhäuser
2014, 2014
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| Edition: | 1st ed. 2014 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
| Summary: | The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 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 L2 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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| Physical Description: | XII, 222 p. 5 illus., 2 illus. in color online resource |
| ISBN: | 9783034806251 |