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arXiv · 2507.05988

Invariant Hilbert spaces of distribution vectors in Lie group representations

Ingrid Beltita·Daniel Beltita
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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.

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Ingrid Beltita, Daniel Beltita. 2025-07-08. Invariant Hilbert spaces of distribution vectors in Lie group representations. https://arxiv.org/abs/2507.05988

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