38 citations · 160 across the 19 of their papers we have counts for
23 papers
The Stieltjes moment problem in Gelfand-Shilov spaces defined by weight sequences in the absence of derivation closedness
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
The Stieltjes moment problem is studied in a new framework within the general Gelfand-Shilov spaces defined via weight sequences. The novelty consists of allowing for a naturally l…
Surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes defined by sequences with shifted moments
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We prove several improved versions of the Borel-Ritt theorem about the surjectivity of the asymptotic Borel mapping in classes of functions with -uniform asymptotic…
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.…
Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We construct optimal flat functions in Carleman-Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitabl…
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…
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…
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…
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…
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…
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…
Flat functions in Carleman ultraholomorphic classes via proximate orders
Javier Sanz
Whenever the defining sequence of a Carleman ultraholomorphic class (in the sense of H. Komatsu) is strongly regular and associated with a proximate order, flat functions are const…
Summability in general Carleman ultraholomorphic classes
Alberto Lastra, Stephane Malek, Javier Sanz
A definition of summability is put forward in the framework of general Carleman ultraholomorphic classes in sectors, so generalizing summability theory as developed by J.-P. Ra…
Continuous right inverses for the asymptotic Borel map in ultraholomorphic classes via a Laplace-type transform
Alberto Lastra, Stéphane Malek, Javier Sanz
A new construction of linear continuous right inverses for the asymptotic Borel map is provided in the framework of general Carleman ultraholomorphic classes in narrow sectors. Suc…
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…
On q-asymptotics for linear q-difference-differential equations with Fuchsian and irregular singularities
Alberto Lastra, Stephane Malek, Javier Sanz
We consider a Cauchy problem for some family of q-difference-differential equations with Fuchsian and irregular singularities, that admit a unique formal power series solution in t…
Quasi-analyticity in Carleman ultraholomorphic classes
Alberto Lastra, Javier Sanz
We give a characterization for two different concepts of quasi-analyticity in Carleman ultraholomorphic classes of functions of several variables in polysectors. Also, working with…