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Decay of the Fourier Transform

Decay of the Fourier Transform : Analytic and Geometric Aspects.

・ISBN 978-3-0348-0624-4 hard EUR 109.99

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お気に入り
著者・編者Iosevich, Alex / Liflyand, Elijah,
出版社(Springer Basel, SZ)
出版年月2014
ページ数222 pp.
言語ENG
ニュース番号<M25-19720>

解説

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.?