关于 $$p$$ - 自整数环字符系统的维纳和列维类型定理

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-05-06 DOI:10.1134/s2070046624020043

S. S. Volosivets, A. N. Mingachev

引用次数: 0

摘要

摘要我们描述了关于 $p$-adic 整数的特征系统的绝对收敛级数子代数上的连续同态。利用这一特征，我们得到了这些子代数的 Wiener 和 Levy 型定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

P-Adic Numbers Ultrametric Analysis and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： This is a new international interdisciplinary journal which contains original articles, short communications, and reviews on progress in various areas of pure and applied mathematics related with p-adic, adelic and ultrametric methods, including: mathematical physics, quantum theory, string theory, cosmology, nanoscience, life sciences; mathematical analysis, number theory, algebraic geometry, non-Archimedean and non-commutative geometry, theory of finite fields and rings, representation theory, functional analysis and graph theory; classical and quantum information, computer science, cryptography, image analysis, cognitive models, neural networks and bioinformatics; complex systems, dynamical systems, stochastic processes, hierarchy structures, modeling, control theory, economics and sociology; mesoscopic and nano systems, disordered and chaotic systems, spin glasses, macromolecules, molecular dynamics, biopolymers, genomics and biology; and other related fields.