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arXiv · 2412.18698

Strong factorization of ultradifferentiable vectors associated with compact Lie group representations

Andreas Debrouwere·Michiel Huttener·Jasson Vindas
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Abstract

We show a strong factorization theorem of Dixmier-Malliavin type for ultradifferentiable vectors associated with compact Lie group representations on sequentially complete locally convex Hausdorff spaces. In particular, this solves a conjecture by Gimperlein et al. [J. Funct. Anal. 262 (2012), 667-681] for analytic vectors in the case of compact Lie groups.

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Andreas Debrouwere, Michiel Huttener, Jasson Vindas. 2024-12-24. Strong factorization of ultradifferentiable vectors associated with compact Lie group representations. https://doi.org/10.1093/imrn%2Frnaf157

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