Decay of the Fourier Transform: Analytic and Geometric Aspects - Hardcover

Iosevich, Alex; Liflyand, Elijah

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

Inhaltsangabe

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

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ISBN 10:  3034806264 ISBN 13:  9783034806268
Verlag: Birkhäuser, 2014
Softcover