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

作     者：Platonov, Sergey S. 

作者机构：Petrozavodsk State Univ Inst Math Lenina Av 33 Petrozavodsk 185910 Russia 

出 版 物：《P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS》 (P-adic Numbers Ultrametr. Anal. Appl.)

年 卷 期：2018年第10卷第2期

页      面：118-129页

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

摘      要：Some problems in the theory of approximation of complex-valued functions on the group Q(p) in the metric of L-p, 1 = rho = 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.