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k-Valued Wilson functions

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We study k-valued solutions of Wilson’s μ-functional equation on semigroups and monoids where k is an algebraically closed field of characteristic ≠ 2. As applications we solve the functional equation on some finite groups and find the continuous, complex valued solutions on compact groups.

Original languageEnglish
JournalAequationes Mathematicae
Pages (from-to)1131-1147
Number of pages17
Publication statusPublished - Dec 2021

    Research areas

  • D’Alembert, Functional equation, Involution, Monoid, Representation, Wilson

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