Some Problems in the Theory of Approximation of Functions on the Group of p-Adic Numbers

被引：3

作者：

Platonov S.S. ^{[1
]}

机构：

[1] Institute ofMathematics, Petrozavodsk State University, Lenina av., 33, Petrozavodsk

来源：

p-Adic Numbers, Ultrametric Analysis and Applications | 2018年 / 10卷 / 2期

关键词：

approximation of functions; embedding theorems; group of p-adic numbers; Lipschitz condition; modulus of continuity; p-adic harmonic analysis; padic Fourier transform;

D O I：

10.1134/S207004661802005X

中图分类号：

学科分类号：

摘要：

Some problems in the theory of approximation of complex-valued functions on the group Qp in the metric of Lρ, 1 ≤ 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. © 2018, Pleiades Publishing, Ltd.

引用

页码：118 / 129

页数：11

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