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arXiv · 1412.6165

The convenient setting for ultradifferentiable mappings of Beurling- and Roumiue-type defined by a weight matrix

Gerhard Schindl
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Abstract

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 matrix satisfies some mild regularity conditions. We prove that these categories are cartesian closed and as special cases one obtains the classes defined by a weight sequence and by a weight function.

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Gerhard Schindl. 2014-12-18. The convenient setting for ultradifferentiable mappings of Beurling- and Roumiue-type defined by a weight matrix. https://arxiv.org/abs/1412.6165

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