Decay of the Fourier Transform: Analytic and Geometric Aspects - Couverture rigide

Iosevich, Alex; Liflyand, Elijah

 
9783034806244: Decay of the Fourier Transform: Analytic and Geometric Aspects

Synopsis

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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Autres éditions populaires du même titre

9783034806268: Decay of the Fourier Transform: Analytic and Geometric Aspects

Edition présentée

ISBN 10 :  3034806264 ISBN 13 :  9783034806268
Editeur : Birkhäuser, 2014
Couverture souple