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.
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页码：163 / 175
页数：12
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