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On the titchmarsh convolution theorem for distributions on the circle
Authors:A. A. Komech  A. I. Komech
Affiliation:13. Institute for Information Transmission Problems, Texas A&M University, Moscow, Russia
23. Institute for Information Transmission Problems, University of Vienna, Moscow, Russia
Abstract:We prove a version of the Titchmarsh convolution theorem for distributions on the circle. We show that a certain “naïve” form of the Titchmarsh theorem can be violated, but only for the convolution of distributions with certain symmetry properties.
Keywords:
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