62 citations · 390 across the 53 of their papers we have counts for
5 papers · 1 filter
Ellipticity and the problem of iterates in Denjoy-Carleman classes
Stefan Fürdös, Gerhard Schindl
In 1978 Métivier showed that a differential operator with analytic coefficients is elliptic if and only if the theorem of iterates holds for with respect to any non-analyti…
On inclusion relations between weighted spaces of entire functions
Gerhard Schindl
We characterize the inclusions of weighted classes of entire functions in terms of the defining weights resp. weight systems. First we treat weights defined in terms of a so-called…
On generalized definitions of ultradifferentiable classes
Javier Jiménez-Garrido, David Nicolas Nenning, Gerhard Schindl
We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipović, N. Teofanov and F. Tomić are special cases of the general framework of…
The Borel map in the mixed Beurling setting
David Nicolas Nenning, Armin Rainer, Gerhard Schindl
The Borel map takes a smooth function to its infinite jet of derivatives (at zero). We study the restriction of this map to ultradifferentiable classes of Beurling type in a very g…
Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We construct optimal flat functions in Carleman-Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitabl…