62 citations · 390 across the 53 of their papers we have counts for
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Ultraholomorphic sectorial extensions of Beurling type
David Nicolas Nenning, Armin Rainer, Gerhard Schindl
We prove sectorial extension theorems for ultraholomorphic function classes of Beurling type defined by weight functions with a controlled loss of regularity. The proofs are based…
On the maximal extension in the mixed ultradifferentiable weight sequence setting
Gerhard Schindl
For the ultradifferentiable weight sequence setting it is known that the Borel map which assigns to each function the infinite jet of derivatives (at 0) is surjective onto the corr…
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…
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…
Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting
Chiara Boiti, David Jornet, Alessandro Oliaro +1
We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine…