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math.FA2022★ 16 cited
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…
math.FA2022
Extension operators for some ultraholomorphic classes defined by sequences of rapid growth
Javier Jiménez-Garrido, Alberto Lastra, Javier Sanz
While the asymptotic Borel mapping, sending a function into its series of asymptotic expansion in a sector, is known to be surjective for arbitrary openings in the framework of ult…