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Split functions, Fourier transforms and multipliers (1309.0201v1)
Published 1 Sep 2013 in math.FA
Abstract: We study the effect of a splitting operator S_t on the Lp norm of the Fourier transform of a function f and on the operator norm of a Fourier multiplier m. Most of our results assume p is an even integer, and are often stronger when f or m has compact support.
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