The Algebraic Small Dimension Lemma with an Anti-Homomorphism on Semigroups

被引：6

作者：

Ayoubi, Mohamed ^{[1
]}

Zeglami, Driss ^{[1
]}

机构：

[1] Moulay ISMAIL Univ, ENSAM, Dept Math, BP 15290 Al Mansour, Meknes, Morocco

来源：

RESULTS IN MATHEMATICS | 2021年 / 76卷 / 02期

关键词：

Functional equation; d'Alembert; non-abelian Fourier transform; anti-homomorphism; irreducible representation; semigroup; Primary; 39B52; Secondary; 39B32; FUNCTIONAL-EQUATIONS;

D O I：

10.1007/s00025-021-01377-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper extends Stetk ae r's Algebraic Small Dimension Lemma on semigroups (Stetk ae r in Aequat Math, 2020) by replacing its involution by an anti-homomorphism that need not be involutive. We apply our result, to give an accessible approach to solve the d'Alembert mu -functional equation and the Wilson mu -functional equation on compact groups with an anti-homomorphism. This generalizes Yang's result (Yang in Canad Math Bull 56: 218-224, 2013).

引用

页数：13

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