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$4,095
  • 語言: 英文
  • 頁數: 222
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3034806248
  • ISBN-13: 9783034806244
  • 海外代購書籍(需單獨結帳)

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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.​