Decay of the Fourier Transform - E-book

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Decay Of The Fourier Transform - ENG

Analytic And Geometric Aspects

Alex Iosevich; Elijah Liflyand

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Sinopsis

ISBN:	9783034806251
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Análisis Matemática
Año de publicación:	2014-10-01

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.â€‹

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