Moment problems on compacts of characters of an unital commutative algebra
Functional Analysis
2026-05-18 v1
Abstract
In this note we consider linear functionals on an unital commutative R-algebra. We give an integral representation of a nonnegative functional on an Archimedean cone where we do not assume that this cone is a semiring or a quadratic module. We also give a solution of the moment problem on a product of intervals and determine conditions for a functional to be a moment functional on a compact of characters.
Keywords
Cite
@article{arxiv.2605.16124,
title = {Moment problems on compacts of characters of an unital commutative algebra},
author = {Dragu Atanasiu},
journal= {arXiv preprint arXiv:2605.16124},
year = {2026}
}