On the Titchmarsh convolution theorem for distributions on the circle
classification
🧮 math.FA
keywords
convolutiondistributionstheoremtitchmarshcirclecertainformnaive
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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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