Alex Iosevich,Elijah Liflyand's Decay of the Fourier Transform: Analytic and Geometric PDF

By Alex Iosevich,Elijah Liflyand

The Plancherel formulation says that the L^2 norm of the functionality is the same as the L^2 norm of its Fourier remodel. this means that at the least on commonplace, the Fourier remodel of an L^2 functionality decays at infinity. This e-book is devoted to the research of the speed of this decay below numerous assumptions and conditions, a ways past the unique L^2 atmosphere. Analytic and geometric houses of the underlying capabilities engage in a unbroken symbiosis which underlines the big variety impacts and purposes of the techniques lower than consideration.​  

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

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