4 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…
Sectorial extensions for ultraholomorphic classes defined by weight functions
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We prove an extension theorem for ultraholomorphic classes defined by so-called Braun-Meise-Taylor weight functions and transfer the proofs from the single weight sequence case fro…