24 citations · 25 across the 3 of their papers we have counts for
4 papers
Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We characterize several stability properties, such as inverse or composition closedness, for ultraholomorphic function classes of Roumieu type defined in terms of a weight matrix.…
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…
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…
A Phragmén-Lindelöf theorem via proximate orders, and the propagation of asymptotics
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We prove that, for asymptotically bounded holomorphic functions in a sector in , an asymptotic expansion in a single direction towards the vertex with constraints in te…