Decay of the Fourier transform : analytic and geometric aspects /

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Bibliographic Details
Author / Creator:Iosevich, Alex, 1967- author.
Imprint:Basel : Birkhäuser, [2014]
©2014
Description:1 online resource.
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11088243
Hidden Bibliographic Details
Other authors / contributors:Liflyand, Elijah, author.
ISBN:9783034806251
3034806256
9783034806244
3034806248
Notes:Includes bibliographical references and index.
Print version record.
Summary: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.
Other form:Print version: Decay of the Fourier Transform 9783034806244
Standard no.:10.1007/978-3-0348-0625-1