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math.CA2015★ 11 cited
On the Borel mapping in the quasianalytic setting
Armin Rainer, Gerhard Schindl
The Borel mapping takes germs at of smooth functions to the sequence of iterated partial derivatives at . We prove that the Borel mapping restricted to the germs of any quas…
math.FA2015★ 2 cited
Characterization of ultradifferentiable test functions defined by weight matrices in terms of their Fourier transform
Gerhard Schindl
We prove that functions with compact support in non-quasianalytic classes of Roumieu-type and of Beurling-type defined by a weight matrix with some mild regularity conditions can b…