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

被引：4
|
作者：
Platonov, Sergey S. [1 ]
机构：
[1] Petrozavodsk State Univ, Inst Math, Lenina Av 33, Petrozavodsk 185910, Russia
来源：
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2019年 / 11卷 / 02期
关键词：
locally compact Vilenkin groups; approximation of functions; modulus of continuity; zero-dimensional groups; Lipschitz condition; embedding theorems; CONTINUITY;
D O I：
10.1134/S2070046619020067
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some problems in the theory of approximation of complex-valued functions on locally compact Vilenkin groups in the metric of L-p, 1 <= p <= infinity, 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：13
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