Moment Functions on Groups

@article{Fechner2020MomentFO,
  title={Moment Functions on Groups},
  author={Żywilla Fechner and Eszter Gselmann and L'aszl'o Sz'ekelyhidi},
  journal={arXiv: Classical Analysis and ODEs},
  year={2020}
}
The main purpose of this work is to prove characterization theorems for generalized moment functions on groups. According one of the main results these are exponential polynomials that can be described with the aid of complete (exponential) Bell polynomials. These characterizations will be immediate consequences of our main result about the characterization of generalized moment functions of higher rank. 
Moment functions and exponential monomials on commutative hypergroups
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,
Spectral synthesis via moment functions on hypergroups
In this paper we continue the discussion about relations between exponential polynomials and generalized moment generating functions on a commutative hypergroup. We are interested in the following

References

SHOWING 1-10 OF 17 REFERENCES
Moment functions on polynomial hypergroups
Abstract.The study of moment functions on commutative topological groups leads to the study of systems of functional equations. Systems of functional equations characterizing moment functions and
Functional Equations on Hypergroups
This paper presents some recent results concerning functional equations on hypergroups. The aim is to give some idea for the treatment of classical functional equation problems in the hypergroup
Spherical and moment functions on the affine group of SU(n)
Moments of probability measures on a group can be obtained from so called (generalized) moment functions of a given order. Characterization theorems for moment function sequences on different types
MOMENT FUNCTIONS ON STURM–LIOUVILLE HYPERGROUPS
This paper presents some recent results concerning functional equations on Sturm–Liouville hypergroups. The general form of additive functions, exponentials and moment functions on these types of
A moment problem on some types of hypergroups
The classical moment problem is formulated for commutative hypergroups and the uniqueness is proved for polynomial hypergroups in a single variable and for Sturm–Liouville hypergroups.
SPHERICAL MONOMIALS ON AFFINE GROUPS
Spherical monomials are the building blocks of spherical spectral synthesis. In this work we exhibit the basic ideas how to describe spherical monomials on some types of affine groups using invariant
Moment Functions on Affine Groups
Moments of probability measures on a hypergroup can be obtained from so-called (generalized) moment functions of a given order. The aim of this paper is to characterize generalized moment functions
Polynomial maps with applications to combinatorics and probability theory
2 Acknowledgments 3 Introduction 7 Chapter I. Exponential Bell polynomials 11 1. Properties 12 2. Moments and cumulants 14 3. Sums of independent random variables 18 4. Circular processes and
Harmonic and Spectral Analysis
Duality of Finite Abelian Groups Harmonic Analysis on Finite Abelian Groups Invariant Means on Abelian Groups Duality of Discrete and Compact Abelian Groups Duality of Elementary Abelian Groups
  • Ann. Univ. Sci. Budapest. Sect. Comput.
  • 2018
...
1
2
...