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

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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 not less than on commonplace, the Fourier rework of an L^2 functionality decays at infinity. This ebook is devoted to the learn of the speed of this decay below quite a few assumptions and situations, a ways past the unique L^2 environment. Analytic and geometric homes of the underlying capabilities have interaction in a unbroken symbiosis which underlines the big variety affects and purposes of the innovations less than consideration.​  

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


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