On Wiener and Levy Type Theorems for System of Characters of the Ring of \(p\)-Adic Integers

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发表日期：

2024年5月6日

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S. S. Volosivets,
A. N. Mingachev

摘要

Abstract

We describe the continuous homomorphisms on subalgebras of absolutely convergent series with respect to the character system of \(p\) -adic integers. Using this characterization we obtain Wiener and Levy type theorems for these subalgebras.