Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting
Functional Analysis
2022-12-29 v1
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.
Keywords
Cite
@article{arxiv.2004.08422,
title = {Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting},
author = {Chiara Boiti and David Jornet and Alessandro Oliaro and Gerhard Schindl},
journal= {arXiv preprint arXiv:2004.08422},
year = {2022}
}