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math.FA2019★ 1 cited
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…
math.FA2017★ 24 cited
Sectorial extensions, via Laplace transforms, in ultraholomorphic classes defined by weight functions
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We prove several extension theorems for Roumieu ultraholomorphic classes of functions in sectors of the Riemann surface of the logarithm which are defined by means of a weight func…