Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913081707200512 |
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| author | Pusti, Sanjoy Sitiraju, Iswarya |
| author_facet | Pusti, Sanjoy Sitiraju, Iswarya |
| contents | We characterise the bounded left $K$-invariant normalized Eisenstein integrals on split rank one semisimple symmetric spaces. As a consequence we prove Hausdorff-Young inequality on these spaces. We also prove similar result for $K$-finite Eisenstein integrals on pseudo-Riemannian real hyperbolic spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces Pusti, Sanjoy Sitiraju, Iswarya Functional Analysis 43A85, 43A90, 33C67, 22E30 We characterise the bounded left $K$-invariant normalized Eisenstein integrals on split rank one semisimple symmetric spaces. As a consequence we prove Hausdorff-Young inequality on these spaces. We also prove similar result for $K$-finite Eisenstein integrals on pseudo-Riemannian real hyperbolic spaces. |
| title | Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces |
| topic | Functional Analysis 43A85, 43A90, 33C67, 22E30 |
| url | https://arxiv.org/abs/2509.24620 |