Email this article An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups
- Authors: Platonov S.S.1
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Affiliations:
- Institute of Mathematics
- Issue: Vol 9, No 4 (2017)
- Pages: 306-313
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200896
- DOI: https://doi.org/10.1134/S2070046617040057
- ID: 200896
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Abstract
In this paper for functions on locally compact Vilenkin groups, we prove an analogue of one classical Titchmarsh theorem on the image under the Fourier transform of a set of functions satisfying the Lipschitz condition in L2.
About the authors
Sergey S. Platonov
Institute of Mathematics
Author for correspondence.
Email: ssplatonov@yandex.ru
Russian Federation, Petrozavodsk, Lenina av., 33, 185910
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