62 citations · 390 across the 53 of their papers we have counts for
7 papers · 1 filter
On optimal solutions of the Borel problem in the Roumieu case
David Nicolas Nenning, Armin Rainer, Gerhard Schindl
The Borel problem for Denjoy--Carleman and Braun--Meise--Taylor classes has well-known optimal solutions. The unified treatment of these ultradifferentiable classes by means of one…
Nonlinear conditions for ultradifferentiability: a uniform approach
David Nicolas Nenning, Armin Rainer, Gerhard Schindl
Recent work showed that a theorem of Joris (that a function is smooth if two coprime powers of are smooth) is valid in a wide variety of ultradifferentiable classes $\mathc…
On the equivalence between moderate growth-type conditions in the weight matrix setting
Gerhard Schindl
We study the generalizations of the known equivalent reformulations of condition moderate growth from the single weight sequence to the weight matrix setting. This condition, also…
Equality of ultradifferentiable classes by means of indices of mixed O-regular variation
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the corresponding matrix of associate…
The Theorem of Iterates for elliptic and non-elliptic Operators
Stefan Fürdös, Gerhard Schindl
We introduce a new approach for the study of the Problem of Iterates using the theory on general ultradifferentiable structures developed in the last years. Our framework generaliz…
Nonlinear conditions for ultradifferentiability
David Nicolas Nenning, Armin Rainer, Gerhard Schindl
A remarkable theorem of Joris states that a function is if two relatively prime powers of are . Recently, Thilliez showed that an analogous theorem hol…
On subadditivity-like conditions for associated weight functions
Gerhard Schindl
The aim of this article is to provide characterizations for subadditivity-like growth conditions for the so-called associated weight functions in terms of the defning weight sequen…