Email this article Some Problems in the Theory of Approximation of Functions on the Group of p-Adic Numbers
- Authors: Platonov S.S.1
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Affiliations:
- Institute ofMathematics
- Issue: Vol 10, No 2 (2018)
- Pages: 118-129
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200983
- DOI: https://doi.org/10.1134/S207004661802005X
- ID: 200983
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Abstract
Some problems in the theory of approximation of complex-valued functions on the group Qp in the metric of Lρ, 1 ≤ ρ≤∞ by functions with bounded spectrum, are investigated. A description of certain function spaces in terms of the best approximations are obtained and some imbedding theorems are proved.
About the authors
Sergey S. Platonov
Institute ofMathematics
Author for correspondence.
Email: ssplatonov@yandex.ru
Russian Federation, Lenina av., 33, Petrozavodsk, 185910
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