Wehrl inequalities for matrix coefficients of holomorphic discrete series
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910785150648320 |
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| author | van Haastrecht, Robin Zhang, Genkai |
| author_facet | van Haastrecht, Robin Zhang, Genkai |
| contents | We prove Wehrl-type $L^2(G)-L^{p}(G)$ inequalities for matrix coefficients of vector-valued holomorphic discrete series of $G$, for even integers $p=2n$. The optimal constant is expressed in terms of Harish-Chandra formal degrees for the discrete series. We prove the maximizers are precisely the reproducing kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18382 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wehrl inequalities for matrix coefficients of holomorphic discrete series van Haastrecht, Robin Zhang, Genkai Representation Theory Mathematical Physics We prove Wehrl-type $L^2(G)-L^{p}(G)$ inequalities for matrix coefficients of vector-valued holomorphic discrete series of $G$, for even integers $p=2n$. The optimal constant is expressed in terms of Harish-Chandra formal degrees for the discrete series. We prove the maximizers are precisely the reproducing kernels. |
| title | Wehrl inequalities for matrix coefficients of holomorphic discrete series |
| topic | Representation Theory Mathematical Physics |
| url | https://arxiv.org/abs/2412.18382 |