62 citations · 390 across the 53 of their papers we have counts for
5 papers · 1 filter
On the extension of Whitney ultrajets, II
Armin Rainer, Gerhard Schindl
We characterize the validity of the Whitney extension theorem in the ultradifferentiable Roumieu setting with controlled loss of regularity. Specifically, we show that in the main…
Indices of O-regular variation for weight functions and weight sequences
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
A plethora of spaces in Functional Analysis (Braun-Meise-Taylor and Carleman ultradifferentiable and ultraholomorphic classes; Orlicz, Besov, Lipschitz, Lebesque spaces, to cite th…
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…