Decay of the Fourier Transform
| Author | : Alex Iosevich |
| Publisher | : Springer |
| Total Pages | : 226 |
| Release | : 2014-10-01 |
| ISBN-10 | : 9783034806251 |
| ISBN-13 | : 3034806256 |
| Rating | : 4/5 (256 Downloads) |
Download or read book Decay of the Fourier Transform written by Alex Iosevich and published by Springer. This book was released on 2014-10-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
