SearcharxivSearch

arXiv subjects

Zywilla Fechner

Publications and source records attributed to Zywilla Fechner.

2 recordsLinked to original sources

Generalized derivations and generalized exponential monomials on hypergroups

In one of our former papers {\it Endomorphisms of the measure algebra of commutative hypergroups arXiv:2204.07499 we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra. Continuing with this, we are now looking for the connection between the generalized exponential polynomials of a commutative hypergroup and the higher order derivations of the corresponding measure algebra.

math.RA

Endomorphisms and derivations of the measure algebra of commutative hypergroups

Endomorphisms of the measure algebra of commutative hypergroups are investigated. We focus on derivations and higher order derivations which are closely related to moment function sequences of higher rank. We describe the exact connection between those higher order derivations which are endomorphisms of the measure algebra if it is considered as a module over the ring of continuous functions.

math.FA