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.
- | Author: Alex Iosevich
- | Publisher: Birkhauser
- | Publication Date: Oct 10, 2014
- | Number of Pages: 222 pages
- | Binding: Hardback or Cased Book
- | ISBN-10: 3034806248
- | ISBN-13: 9783034806244