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Decay of the Fourier Transform
Analytic And Geometric Aspects
- Editore:
Springer Basel
- EAN:
9783034806244
- ISBN:
3034806248
- Pagine:
- 236
- Formato:
- Hardback
- Lingua:
- Tedesco
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Descrizione Decay of the Fourier Transform
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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