Solution to the Stieltjes moment problem in Gelfand-Shilov spaces
Functional Analysis
2019-05-20 v1 Classical Analysis and ODEs
Abstract
We characterize the surjectivity and the existence of a continuous linear right inverse of the Stieltjes moment mapping on Gelfand-Shilov spaces, both of Beurling and Roumieu type, in terms of their defining weight sequence. As a corollary, we obtain some new results about the Borel-Ritt problem in spaces of ultraholomorphic functions on the upper half-plane.
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Cite
@article{arxiv.1905.07148,
title = {Solution to the Stieltjes moment problem in Gelfand-Shilov spaces},
author = {Andreas Debrouwere},
journal= {arXiv preprint arXiv:1905.07148},
year = {2019}
}
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25 pages