Invariant Hilbert spaces of distribution vectors in Lie group representations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918237375037440 |
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| author | Beltita, Ingrid Beltita, Daniel |
| author_facet | Beltita, Ingrid Beltita, Daniel |
| contents | For every unitary irreducible representation of a Lie group we prove that the representation Hilbert space is the only nonzero invariant Hilbert space of distribution vectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05988 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant Hilbert spaces of distribution vectors in Lie group representations Beltita, Ingrid Beltita, Daniel Representation Theory Functional Analysis Primary 22E27, Secondary 17B30, 22E25, 46F10 For every unitary irreducible representation of a Lie group we prove that the representation Hilbert space is the only nonzero invariant Hilbert space of distribution vectors. |
| title | Invariant Hilbert spaces of distribution vectors in Lie group representations |
| topic | Representation Theory Functional Analysis Primary 22E27, Secondary 17B30, 22E25, 46F10 |
| url | https://arxiv.org/abs/2507.05988 |