{"year":"2023","author":[{"full_name":"Weich, Tobias","last_name":"Weich","first_name":"Tobias"},{"full_name":"Wolf, Lasse L.","last_name":"Wolf","first_name":"Lasse L."}],"user_id":"45027","date_created":"2023-07-24T07:52:23Z","external_id":{"arxiv":["2304.09573"]},"_id":"46117","status":"public","department":[{"_id":"10"}],"type":"preprint","citation":{"apa":"Weich, T., &#38; Wolf, L. L. (2023). Temperedness of locally symmetric spaces: The product case. In <i>arXiv:2304.09573</i>.","mla":"Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>ArXiv:2304.09573</i>, 2023.","chicago":"Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>ArXiv:2304.09573</i>, 2023.","bibtex":"@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces: The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf, Lasse L.}, year={2023} }","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” <i>arXiv:2304.09573</i>. 2023.","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. <i>arXiv:230409573</i>. Published online 2023.","short":"T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023)."},"date_updated":"2023-07-24T07:53:29Z","language":[{"iso":"eng"}],"publication":"arXiv:2304.09573","abstract":[{"lang":"eng","text":"Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$."}],"title":"Temperedness of locally symmetric spaces: The product case"}