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.

中文翻译：

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局部紧维连金群函数逼近理论中的几个问题

研究了有界函数在Lp, 1 ≤ p ≤ ∞ 度量下局部紧维伦金群上复值函数逼近理论中的一些问题。获得了某些函数空间的最佳近似描述，并证明了一些嵌入定理。