On the titchmarsh convolution theorem for distributions on the circle |
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Authors: | A. A. Komech A. I. Komech |
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Affiliation: | 13. Institute for Information Transmission Problems, Texas A&M University, Moscow, Russia 23. Institute for Information Transmission Problems, University of Vienna, Moscow, Russia
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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. |
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