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 rework. this suggests that a minimum of on usual, the Fourier rework of an L^2 functionality decays at infinity. This ebook is devoted to the research of the speed of this decay lower than quite a few assumptions and situations, some distance past the unique L^2 surroundings. Analytic and geometric houses of the underlying capabilities have interaction in a unbroken symbiosis which underlines the wide variety impacts and functions of the innovations lower than consideration.?
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