Email this article Some Problems in the Theory of Approximation of Functions on Locally Compact Vilenkin Groups
- Authors: Platonov S.S.1
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Affiliations:
- Institute of Mathematics
- Issue: Vol 11, No 2 (2019)
- Pages: 163-175
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/201208
- DOI: https://doi.org/10.1134/S2070046619020067
- ID: 201208
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Abstract
Some problems in the theory of approximation of complex-valued functions on locally compact Vilenkin groups in the metric of Lp, 1 ≤ p ≤ ∞, 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 of Mathematics
Author for correspondence.
Email: ssplatonov@yandex.ru
Russian Federation, Lenina av., 33, Petrozavodsk, 185910
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