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"item_description" : "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.",
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Decay of the Fourier Transform : Analytic and Geometric Aspects
by Alex Iosevich and Elijah Liflyand
Overview
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.
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Details
- ISBN-13: 9783034806244
- ISBN-10: 3034806248
- Publisher: Birkhauser
- Publish Date: October 2014
- Dimensions: 9.21 x 6.14 x 0.56 inches
- Shipping Weight: 1.12 pounds
- Page Count: 222
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