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arXiv · 2004.08422

Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting

Chiara Boiti·David Jornet·Alessandro Oliaro·Gerhard Schindl
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Abstract

We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine also the corresponding coefficient spaces, thus extending previous work by Langenbruch. As a consequence we give very general conditions for these spaces to be nuclear. In particular, we obtain the corresponding results for spaces defined by weight functions.

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Chiara Boiti, David Jornet, Alessandro Oliaro, Gerhard Schindl. 2020-04-17. Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting. https://doi.org/10.1007/s43037-020-00090-x

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