27 citations · 90 across the 8 of their papers we have counts for
9 papers
Equality of ultradifferentiable classes by means of indices of mixed O-regular variation
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the corresponding matrix of associate…
Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We study the surjectivity of, and the existence of right inverses for, the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences in the sen…
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…
The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We consider r-ramification ultradifferentiable classes, introduced by J. Schmets and M. Valdivia in order to study the surjectivity of the Borel map, and later on also exploited by…
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…
Indices of O-regular variation for weight functions and weight sequences
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
A plethora of spaces in Functional Analysis (Braun-Meise-Taylor and Carleman ultradifferentiable and ultraholomorphic classes; Orlicz, Besov, Lipschitz, Lebesque spaces, to cite th…
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…
Log-convex sequences and nonzero proximate orders
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
Summability methods for ultraholomorphic classes in sectors, defined in terms of a strongly regular sequence , have been put forward by A. Last…
Strongly regular sequences and proximate orders
Javier Jiménez-Garrido, Javier Sanz
Summability methods for ultraholomorphic classes in sectors, defined in terms of a strongly regular sequence , have been put forward by A. Last…