Fechner, Żywilla; Székelyhidi, László Functional equations on double coset hypergroups. (English) Zbl 1369.43003 Ann. Funct. Anal. 8, No. 3, 411-423 (2017). Summary: In this paper we describe the complex-valued solutions defined on a double coset hypergroup of the exponential, additive, and quadratic functional equations. Moreover, the \(m\)-sine functions on a double coset hypergroup are discussed. The double coset hypergroup we consider is closely related to affine groups and spherical functions on them. Cited in 1 Document MSC: 43A62 Harmonic analysis on hypergroups 39B99 Functional equations and inequalities 20N20 Hypergroups Keywords:hypergroup; functional equation; affine group PDF BibTeX XML Cite \textit{Ż. Fechner} and \textit{L. Székelyhidi}, Ann. Funct. Anal. 8, No. 3, 411--423 (2017; Zbl 1369.43003) Full Text: DOI Euclid OpenURL