Description 
1 online resource 
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 
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 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Fourier analysis.


Geometric analysis.

Form 
Electronic book

Author 
Liflyand, Elijah, author

ISBN 
3034806256 (electronic bk.) 

9783034806251 (electronic bk.) 
