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Decay of the Fourier transform : analytic and geometric aspects / Alex Iosevich, Elijah Liflyand.

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 an...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Authors: Iosevich, Alex, 1967- (Author), Liflyand, Elijah (Author)
Format: eBook
Language:English
Published: Basel : Birkhäuser, [2014]
Subjects:
Fourier analysis.
Geometric analysis.
Table of Contents:
  • Foreword
  • Introduction
  • Chapter 1. Basic properties of the Fourier transform
  • Chapter 2. Oscillatory integrals and Fourier transforms in one variable
  • Chapter 3. The Fourier transform of an oscillating function
  • Chapter 4. The Fourier transform of a radial function
  • Chapter 5. Multivariate extensions
  • Appendix
  • Bibliography.

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