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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.00303 |
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| _version_ | 1866910721122500608 |
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| author | Bhagwat, Chandrasheel Sachdeva, Gunja |
| author_facet | Bhagwat, Chandrasheel Sachdeva, Gunja |
| contents | We prove an analogue of the strong multiplicity one theorem in the context of $τ_n$-spherical representations of the group $G = SO(2,1)^\circ$ appearing in $L^2(Γ_i \backslash G)$ for uniform torsion-free lattices $Γ_i, i = 1, 2$ in $G$. This is a generalisation of a previous result by the first author and C. S. Rajan in \cite{B-R-2011} for the case of $G = SO(2,1)^\circ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_00303 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Results on a Strong Multiplicity One Theorem Bhagwat, Chandrasheel Sachdeva, Gunja Representation Theory Differential Geometry Spectral Theory We prove an analogue of the strong multiplicity one theorem in the context of $τ_n$-spherical representations of the group $G = SO(2,1)^\circ$ appearing in $L^2(Γ_i \backslash G)$ for uniform torsion-free lattices $Γ_i, i = 1, 2$ in $G$. This is a generalisation of a previous result by the first author and C. S. Rajan in \cite{B-R-2011} for the case of $G = SO(2,1)^\circ$. |
| title | Results on a Strong Multiplicity One Theorem |
| topic | Representation Theory Differential Geometry Spectral Theory |
| url | https://arxiv.org/abs/2210.00303 |