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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2014
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/1407.8006 |
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| _version_ | 1866910393495977984 |
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| author | Knop, Friedrich Krötz, Bernhard Sayag, Eitan Schlichtkrull, Henrik |
| author_facet | Knop, Friedrich Krötz, Bernhard Sayag, Eitan Schlichtkrull, Henrik |
| contents | We apply the local structure theorem and the polar decomposition to a real spherical space Z=G/H and control the volume growth on Z. We define the Harish-Chandra Schwartz space on Z. We give a geometric criterion to ensure $L^p$-integrability of matrix coefficients on Z. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1407_8006 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Volume growth, temperedness and integrability of matrix coefficients on a real spherical space Knop, Friedrich Krötz, Bernhard Sayag, Eitan Schlichtkrull, Henrik Representation Theory We apply the local structure theorem and the polar decomposition to a real spherical space Z=G/H and control the volume growth on Z. We define the Harish-Chandra Schwartz space on Z. We give a geometric criterion to ensure $L^p$-integrability of matrix coefficients on Z. |
| title | Volume growth, temperedness and integrability of matrix coefficients on a real spherical space |
| topic | Representation Theory |
| url | https://arxiv.org/abs/1407.8006 |