Split functions, Fourier transforms and multipliers
Functional Analysis
2013-09-03 v1
Abstract
We study the effect of a splitting operator S_t on the L^p 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.
Cite
@article{arxiv.1309.0201,
title = {Split functions, Fourier transforms and multipliers},
author = {Laura De Carli and Steve Hudson},
journal= {arXiv preprint arXiv:1309.0201},
year = {2013}
}