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arXiv · 1902.01305

Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces

Andreas Debrouwere·Javier Jiménez-Garrido·Javier Sanz
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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.

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Andreas Debrouwere, Javier Jiménez-Garrido, Javier Sanz. 2019-02-04. Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces. https://arxiv.org/abs/1902.01305

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