62 citations · 390 across the 53 of their papers we have counts for
5 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…
On the construction of large Algebras not contained in the image of the Borel map
Céline Esser, Gerhard Schindl
The Borel map takes germs at 0 of smooth functions to the sequence of iterated partial derivatives at 0. It is well known that the restriction of to the g…
Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis
Chiara Boiti, David Jornet, Alessandro Oliaro +1
We use techniques from time-frequency analysis to show that the space of rapidly decreasing -ultradifferentiable functions is nuclear for every weight function $ω…
Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis
Stefan Fürdös, David Nicolas Nenning, Armin Rainer +1
We review and extend the description of ultradifferentiable functions by their almost analytic extensions, i.e., extensions to the complex domain with specific vanishing rate of th…
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…