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arXiv · 1905.07148

Solution to the Stieltjes moment problem in Gelfand-Shilov spaces

Andreas Debrouwere
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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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Andreas Debrouwere. 2019-05-17. Solution to the Stieltjes moment problem in Gelfand-Shilov spaces. https://arxiv.org/abs/1905.07148

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