On the Titchmarsh convolution theorem for distributions on the circle
Functional Analysis
2013-06-11 v5
Abstract
We prove a version of the Titchmarsh convolution theorem for distributions on the circle. We show that the "naive form" of the Titchmarsh theorem could be violated, but that such a violation is only possible for the convolution of distributions which both possess certain symmetry properties.
Cite
@article{arxiv.1108.2463,
title = {On the Titchmarsh convolution theorem for distributions on the circle},
author = {Andrew Comech and Alexander Komech},
journal= {arXiv preprint arXiv:1108.2463},
year = {2013}
}
Comments
5 pages. arXiv admin note: text overlap with Appendix B from arXiv:1203.3233