TY  - GEN
AB  - The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 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 L2 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.
AU  - Iosevich, Alex,
AU  - Liflyand, Elijah,
CN  - SpringerLink
CN  - QA403.5
ID  - 711824
KW  - Fourier analysis.
KW  - Geometric analysis.
LK  - https://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0625-1
N2  - The Plancherel formula says that the L2 norm of the function is equal to the L2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L2 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 L2 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.
SN  - 9783034806251
SN  - 3034806256
T1  - Decay of the Fourier transformanalytic and geometric aspects /
TI  - Decay of the Fourier transformanalytic and geometric aspects /
UR  - https://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0625-1
ER  -