Annals of Functional Analysis

Functional equations on double coset hypergroups

Żywilla Fechner and László Székelyhidi

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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.

Article information

Ann. Funct. Anal., Volume 8, Number 3 (2017), 411-423.

Received: 10 August 2016
Accepted: 15 November 2016
First available in Project Euclid: 13 May 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 43A62: Hypergroups
Secondary: 39B99: None of the above, but in this section 20N20: Hypergroups

hypergroup functional equation affine group


Fechner, Żywilla; Székelyhidi, László. Functional equations on double coset hypergroups. Ann. Funct. Anal. 8 (2017), no. 3, 411--423. doi:10.1215/20088752-2017-0006.

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