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k-Valued Wilson functions

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Abstract

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

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  1. Institute of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark

    Henrik Stetkær

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  1. Henrik Stetkær
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Correspondence to Henrik Stetkær.

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I dedicate this paper to professor Ludwig Reich for his many achievements in the area of functional equations.

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Stetkær, H. k-Valued Wilson functions. Aequat. Math. 95, 1131–1147 (2021). https://doi.org/10.1007/s00010-021-00784-z

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  • DOI: https://doi.org/10.1007/s00010-021-00784-z

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