Strong factorization of ultradifferentiable vectors associated with compact Lie group representations
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911441522524160 |
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| author | Debrouwere, Andreas Huttener, Michiel Vindas, Jasson |
| author_facet | Debrouwere, Andreas Huttener, Michiel Vindas, Jasson |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_18698 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong factorization of ultradifferentiable vectors associated with compact Lie group representations Debrouwere, Andreas Huttener, Michiel Vindas, Jasson Functional Analysis Representation Theory 22E45, 46E25, 42A85, 43A65, 46A17, 46E40 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. |
| title | Strong factorization of ultradifferentiable vectors associated with compact Lie group representations |
| topic | Functional Analysis Representation Theory 22E45, 46E25, 42A85, 43A65, 46A17, 46E40 |
| url | https://arxiv.org/abs/2412.18698 |