Decay of the Fourier Transform
Analytic and Geometric Aspects
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Beschreibung
Analytic and geometric properties of the underlying functions interact in a seamless symbiosis in this book, which examines the Decay of the Fourier Transform under various assumptions and circumstances. Goes far beyond the original L^2 setting.
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.
Autor*in
Alex Iosevich
Themen in »Decay of the Fourier Transform«
Fourier transform bounded variation curvature decay rate spherical average