Exponential monomials on hypergroup joins

Abstract

Exponential monomials and polynomials are the basic building blocks of spectral synthesis. Recently a systematic study of exponential polynomials has been started on hypergroups. In this paper we join these investigations and describe exponential polynomials on hypergroup joins.

Generalized derivations and generalized exponential monomials on hypergroups

“…Let us consider the hypergroup joins C _ D. The construction and properties of a hypergroup joins can be found e.g. in [6]. We consider a particular case, where the compact part C is the two-point hypergroup Dpθq " t0, iu and the discrete part D is R endowed with the discrete topology.…”