An analogue of the Titchmarsh theorem for the Fourier transform on the group of p-adic numbers
- Authors: Platonov S.S.1
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Affiliations:
- Institute of Mathematics
- Issue: Vol 9, No 2 (2017)
- Pages: 158-164
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200796
- DOI: https://doi.org/10.1134/S2070046617020066
- ID: 200796
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Abstract
In this paper, for functions on the group Qp, we prove an analogue of the classical Titchmarsh theorem on description of 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, Lenina av. 33, Petrozavodsk, 185910
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