Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces
arXiv:1902.01305
Abstract
The Stieltjes moment problem is studied in the framework of general Gelfand-Shilov spaces defined via weight sequences. We characterize the injectivity and surjectivity of the Stieltjes moment mapping, sending a function to its sequence of moments, in terms of growth conditions for the defining weight sequence. Finally, a related moment problem at the origin is studied.
18 pages