Support theorem on R^n and non compact symmetric spaces
Functional Analysis
2010-02-23 v1
Abstract
We consider convolution equations of the type f * T = g where f, g are in L^p(R^n) and T is a compactly supported distribution. Under natural assumptions on the zero set of the Fourier transform of T we show that f is compactly supported, provided g is. Similar results are proved for non compact symmetric spaces as well.
Cite
@article{arxiv.1002.3875,
title = {Support theorem on R^n and non compact symmetric spaces},
author = {E. K. Narayanan and Amit Samanta},
journal= {arXiv preprint arXiv:1002.3875},
year = {2010}
}