Decay of the Fourier Transform: Analytic and Geometric Aspects

Iosevich, Alex; Liflyand, Elijah

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.​

Details

Published by: Birkhäuser

Publication Date: 2014-10-10

Format: Hardcover

ISBN-13: 9783034806244

DOI: 10.1007/978-3-0348-0625-1

Dimensions: 235cm x155cm

Pages: 222