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arXiv · 2406.12626

Harish-Chandra's admissibility problem for Banach space representations of $\mathrm{SL}(2,\mathbb{R})$

Francesca Astengo·Michael G. Cowling·Bianca Di Blasio
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Abstract

We show that irreducible strongly continuous representations of $\mathrm{SL}(2,\mathbb{R})$ on certain Banach spaces are admissible and that the admissibility of Banach space representations of SL(2,R) and the invariant subspace problem are intimately related.

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BibTeXRIS

Francesca Astengo, Michael G. Cowling, Bianca Di Blasio. 2024-06-18. Harish-Chandra's admissibility problem for Banach space representations of $\mathrm{SL}(2,\mathbb{R})$. https://arxiv.org/abs/2406.12626

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