Decay of the Fourier Transform: Analytic and Geometric Aspects
Iosevich, Alex, Liflyand, Elijah
- 出版商: Springer
- 出版日期: 2014-10-10
- 售價: $4,310
- 貴賓價: 9.5 折 $4,095
- 語言: 英文
- 頁數: 222
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3034806248
- ISBN-13: 9783034806244
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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.