Decay of the Fourier Transform : Analytic and Geometric Aspects Hardback
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.
- Format: Hardback
- Pages: 222 pages, 2 Illustrations, color; 3 Illustrations, black and white; XII, 222 p. 5 illus., 2 illus.
- Publisher: Springer Basel
- Publication Date: 01/10/2014
- Category: Functional analysis & transforms
- ISBN: 9783034806244
- PDF from £76.08