Decay of the Fourier Transform: Analytic and Geometric Aspects par Alex Iosevich, Elijah Liflyand

December 8, 2019

Decay of the Fourier Transform: Analytic and Geometric Aspects par Alex Iosevich, Elijah Liflyand

Titre de livre: Decay of the Fourier Transform: Analytic and Geometric Aspects

Auteur: Alex Iosevich, Elijah Liflyand

Broché: 222 pages

Date de sortie: October 10, 2014

ISBN: 3034806248

Éditeur: Birkhauser

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Alex Iosevich, Elijah Liflyand avec Decay of the Fourier Transform: Analytic and Geometric Aspects

The Plancherel formula says that the L DEGREES2 norm of the function is equal to the L DEGREES2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an L DEGREES2 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 DEGREES2 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.