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Decay of the Fourier Transform: Analytic and Geometric Aspects
Elijah Liflyand
(Author)
·
Alex Iosevich
(Author)
·
Birkhauser
· Hardcover
Decay of the Fourier Transform: Analytic and Geometric Aspects - Iosevich, Alex ; Liflyand, Elijah
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Synopsis "Decay of the Fourier Transform: Analytic and Geometric Aspects"
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.
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
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