27 citations · 90 across the 8 of their papers we have counts for
3 papers · 1 filter
Ultraholomorphic extension theorems in the mixed setting
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
The aim of this work is to generalize the ultraholomorphic extension theorems from V. Thilliez in the weight sequence setting and from the authors in the weight function setting (o…
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…