7 citations · 7 across the 5 of their papers we have counts for
5 papers
Stability under product and composition for uniform Carleman asymptotic expansions
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We study the stability under point-wise product and under composition in Carleman classes of holomorphic functions, defined on sectors of the Riemann surface of the logarithm, and…
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…