半群上的四元值乘法函数

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-02-27 DOI:10.1007/s00010-024-01040-w

Ayoub Ouhabi, Driss Zeglami, Mohamed Ayoubi

引用次数: 0

摘要

我们的目的是求解与三角函数方程密切相关的函数方程组。这使我们能够用复值乘法函数来表达四元数值乘法函数。作为我们结果的应用，我们给出了 \(({\mathbb {R}},\cdot )\) 上函数方程的连续四元数值解。

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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Quaternion-valued multiplicative functions on semigroups

Our aim is to solve a system of functional equations closely related to trigonometric functional equations. This allows us to express quaternion-valued multiplicative functions in terms of complex-valued multiplicative functions. As an application of our results, we give the continuous quaternion-valued solutions of a functional equation on \(({\mathbb {R}},\cdot )\).

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.