On the Titchmarsh convolution theorem for distributions on the circle

Andrew Comech; Alexander Komech

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arXiv · 1108.2463

On the Titchmarsh convolution theorem for distributions on the circle

Andrew Comech·Alexander Komech

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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.

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Andrew Comech, Alexander Komech. 2011-08-11. On the Titchmarsh convolution theorem for distributions on the circle. https://arxiv.org/abs/1108.2463

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