2 citations · 2 across the 1 of their papers we have counts for
5 papers
Solid hulls and cores of classes of weighted entire functions defined in terms of associated weight functions
Gerhard Schindl
In the spirit of very recent articles by J. Bonet, W. Lusky and J. Taskinen we are studying the so-called solid hulls and cores of spaces of weighted entire functions when the weig…
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…
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…
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…
How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes?
Céline Esser, Gerhard Schindl
The Borel map takes germs at 0 of smooth functions to the sequence of iterated partial derivatives at 0. In the literature, it is well known that the restriction of this mapping to…