Solution to the Stieltjes moment problem in Gelfand–Shilov spaces
Volume 254 / 2020
Studia Mathematica 254 (2020), 295-323
MSC: 30E05, 44A60, 46E10.
DOI: 10.4064/sm190627-8-10
Published online: 27 April 2020
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.
