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The Stieltjes moment problem in Gelfand-Shilov spaces defined by weight sequences in the absence of derivation closedness
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
The Stieltjes moment problem is studied in a new framework within the general Gelfand-Shilov spaces defined via weight sequences. The novelty consists of allowing for a naturally l…
Extension operators for some ultraholomorphic classes defined by sequences of rapid growth
Javier Jiménez-Garrido, Alberto Lastra, Javier Sanz
While the asymptotic Borel mapping, sending a function into its series of asymptotic expansion in a sector, is known to be surjective for arbitrary openings in the framework of ult…
Injectivity and surjectivity of the Stieltjes moment mapping in Gelfand-Shilov spaces
Andreas Debrouwere, Javier Jiménez-Garrido, Javier Sanz
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 Stie…