On the Titchmarsh convolution theorem for distributions on the circle (Q372459)
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scientific article; zbMATH DE number 6213806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Titchmarsh convolution theorem for distributions on the circle |
scientific article; zbMATH DE number 6213806 |
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On the Titchmarsh convolution theorem for distributions on the circle (English)
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8 October 2013
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The well-known Titchmarsh convolution theorem for distributions of compact support is studied in the setting of periodic distributions. A version of this theorem for distributions on the circle and also for powers of these types of distributions is obtained. As a consequence, it is seen that when a certain simple form of the Titchmarsh convolution theorem is not satisfied, then the distributions involved satisfy certain symmetry properties.
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Titchmarsh convolution theorem
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symmetry properties
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periodic distributions
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