# MathSciDoc: An Archive for Mathematician ∫

#### Functional Analysismathscidoc:1701.12001

Acta Mathematica, 206, (1), 55-92, 2009.2
Given a fixed$p$≠2, we prove a simple and effective characterization of all radial multipliers of $\mathcal{F}{L^p}\left( {{\mathbb{R}^d}} \right)$ , provided that the dimension$d$is sufficiently large. The method also yields new$L$^{$q$}space-time regularity results for solutions of the wave equation in high dimensions.
@inproceedings{yaryong2009radial,
title={Radial Fourier multipliers in high dimensions},
author={Yaryong Heo, Fëdor Nazarov, and Andreas Seeger},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203356060409735},
booktitle={Acta Mathematica},
volume={206},
number={1},
pages={55-92},
year={2009},
}

Yaryong Heo, Fëdor Nazarov, and Andreas Seeger. Radial Fourier multipliers in high dimensions. 2009. Vol. 206. In Acta Mathematica. pp.55-92. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203356060409735.