1 citations · 1 across the 2 of their papers we have counts for
5 papers
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…
Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders
Javier Jiménez-Garrido, Shingo Kamimoto, Alberto Lastra +1
We introduce a general multisummability theory of formal power series in Carleman ultraholomorphic classes. The finitely many levels of summation are determined by pairwise compara…
Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We study the injectivity and surjectivity of the Borel map in three instances: in Roumieu-Carleman ultraholomorphic classes in unbounded sectors of the Riemann surface of the logar…
Strong asymptotic expansions in a multidirection
Alberto Lastra, Jorge Mozo-Fernández, Javier Sanz
In this paper we prove that, for asymptotically bounded holomorphic functions defined in a polysector in , the existence of a strong asymptotic expansion in Majima's…