Decay of the Fourier Transform (e-bog) af Liflyand, Elijah
Liflyand, Elijah (forfatter)

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
Forfattere Liflyand, Elijah (forfatter)
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.