k-Valued Wilson functions

被引：0

作者：

Stetkaer, Henrik ^{[1
]}

机构：

[1] Aarhus Univ, Inst Math, Ny Munkegade 118, DK-8000 Aarhus C, Denmark

来源：

AEQUATIONES MATHEMATICAE | 2021年 / 95卷 / 06期

关键词：

Functional equation; D'Alembert; Wilson; Involution; Representation; Monoid;

D O I：

10.1007/s00010-021-00784-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study k-valued solutions of Wilson's mu-functional equation on semigroups and monoids where k is an algebraically closed field of characteristic not equal 2. As applications we solve the functional equation on some finite groups and find the continuous, complex valued solutions on compact groups.

引用

页码：1131 / 1147

页数：17

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