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Decay of the Fourier transform [electronic resource] : analytic and geometric aspects / Alex Iosevich, Elijah Liflyand.
Iosevich, Alex, 1967- author.; Liflyand, Elijah, author.
2014
QA403.5
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Title
Decay of the Fourier transform [electronic resource] : analytic and geometric aspects / Alex Iosevich, Elijah Liflyand.
Author
Iosevich, Alex, 1967- author.
ISBN
9783034806244
3034806248
9783034806251 electronic book
3034806256 electronic book
Published
Basel : Birkhäuser, [2014]
Copyright
©2014
Language
English
Description
1 online resource
Call Number
QA403.5
Dewey Decimal Classification
515.2433
Summary
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 and circumstances, far beyond the original L2 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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Added Author
Liflyand, Elijah, author.
Available in Other Form
Decay of the Fourier Transform
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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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