Enviar artigo por via de e-mail Some Problems in the Theory of Approximation of Functions on Locally Compact Vilenkin Groups
- Autores: Platonov S.S.1
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Afiliações:
- Institute of Mathematics
- Edição: Volume 11, Nº 2 (2019)
- Páginas: 163-175
- Seção: 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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Resumo
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.
Sobre autores
Sergey Platonov
Institute of Mathematics
Autor responsável pela correspondência
Email: ssplatonov@yandex.ru
Rússia, Lenina av., 33, Petrozavodsk, 185910
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