Titolo: Decay of the Fourier Transform: Analytic and Geometric Aspects [Hardcover] Iosevich, Alex and Liflyand, Elijah (eng)
Editore: Birkh�user
Data di pubblicazione: 2014
Lingua: Inglese
ISBN 10: 3034806248
ISBN 13: 9783034806244
Rilegatura: Rilegato
Condizione: new
Peso: 4,79 chilogrammi

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Riassunto

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.?

Dalla quarta di copertina

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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