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math.AP2022★ 1 cited
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…
math.AP2021★ 11 cited
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…
math.AP2019★ 25 cited
Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis
Stefan Fürdös, David Nicolas Nenning, Armin Rainer +1
We review and extend the description of ultradifferentiable functions by their almost analytic extensions, i.e., extensions to the complex domain with specific vanishing rate of th…