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math.FA2014
The convenient setting for ultradifferentiable mappings of Beurling- and Roumiue-type defined by a weight matrix
Gerhard Schindl
We prove in a uniform way that all ultradifferentiable function classes of Roumieu- and of Beurling-type defined in terms of a weight matrix admit a convenient setting if the matri…
math.CA2014★ 18 cited
Equivalence of stability properties for ultradifferentiable function classes
Armin Rainer, Gerhard Schindl
We characterize stability under composition, inversion, and solution of ordinary differential equations for ultradifferentiable classes, and prove that all these stability properti…