Invariant Hilbert spaces of distribution vectors in Lie group representations
Representation Theory
2025-12-09 v2 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2507.05988,
title = {Invariant Hilbert spaces of distribution vectors in Lie group representations},
author = {Ingrid Beltita and Daniel Beltita},
journal= {arXiv preprint arXiv:2507.05988},
year = {2025}
}
Comments
8 pages; accepted for publication in Arkiv f\"or matematik