On the Titchmarsh convolution theorem for distributions on the circle
arXiv:1108.2463
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.
5 pages. arXiv admin note: text overlap with Appendix B from arXiv:1203.3233