## Annals of Functional Analysis

### Functional equations on double coset hypergroups

#### Abstract

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

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

Dates
Accepted: 15 November 2016
First available in Project Euclid: 13 May 2017

https://projecteuclid.org/euclid.afa/1494640815

Digital Object Identifier
doi:10.1215/20088752-2017-0006

Mathematical Reviews number (MathSciNet)
MR3690003

Zentralblatt MATH identifier
1369.43003

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

#### Citation

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. https://projecteuclid.org/euclid.afa/1494640815