Moment functions and exponential monomials on commutative hypergroups
\.Zywilla Fechner, Eszter Gselmann, L\'aszl\'o Sz\'ekelyhidi

TL;DR
This paper proves that on a commutative hypergroup, exponential monomials with a one-dimensional sine function subspace are linear combinations of generalized moment functions, linking specific function properties to algebraic structure.
Contribution
It establishes a new characterization of exponential monomials in commutative hypergroups based on the dimensionality of sine function subspaces.
Findings
Exponential monomials with one-dimensional sine subspaces are linear combinations of generalized moment functions.
Provides a structural link between sine functions and moment functions on hypergroups.
Enhances understanding of function spaces on commutative hypergroups.
Abstract
The purpose of this paper is to prove that if on a commutative hypergroup an exponential monomial has the property that the linear subspace of all sine functions in its variety is one dimensional, then this exponential monomial is a linear combination of generalized moment functions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
