On a moment problem of analytic functionals of polynomial hypergroups
Shigeru Yamagami
TL;DR
This paper investigates a specific moment problem related to analytic functionals on polynomial hypergroups, using spectral analysis and the Stieltjes transform to understand their properties, especially in the context of radial functions on free groups.
Contribution
It develops a spectral analysis approach for a moment problem on polynomial hypergroups, extending the understanding of analytic functionals in this setting.
Findings
Spectral analysis of polynomial hypergroups conducted.
Application of Stieltjes transform to analytic functionals.
Insights into radial functions on free groups obtained.
Abstract
Related to radial functions on free groups, we focus on certain polynomial hypergroups and work out spectral analysis with the help of the Stieltjes transform of their analytic functionals.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Functional Equations Stability Results