Some Problems in the Theory of Approximation of Functions on Locally Compact Vilenkin Groups

被引：0

作者：

Sergey S. Platonov

机构：

[1] Petrozavodsk State University,Institute of Mathematics

来源：

p-Adic Numbers, Ultrametric Analysis and Applications | 2019年 / 11卷

关键词：

locally compact Vilenkin groups; approximation of functions; modulus of continuity; zero-dimensional groups; Lipschitz condition; embedding theorems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：163 / 175

页数：12

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