Decay of the Fourier Transform e-bog
875,33 DKK
(inkl. moms 1094,16 DKK)
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...
E-bog
875,33 DKK
Forlag
Birkhauser
Udgivet
1 oktober 2014
Genrer
PBK
Sprog
English
Format
pdf
Beskyttelse
LCP
ISBN
9783034806251
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.