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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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 47, No. 1, pp. 26–32, 2013
Original Russian Text Copyright © by A. A. Komech and A. I. Komech
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Komech, A.A., Komech, A.I. On the titchmarsh convolution theorem for distributions on the circle. Funct Anal Its Appl 47, 21–26 (2013). https://doi.org/10.1007/s10688-013-0003-2
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DOI: https://doi.org/10.1007/s10688-013-0003-2