{"title":"Temperedness of locally symmetric spaces: The product case","publication":"Geom Dedicata","abstract":[{"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$\\Gamma$.","lang":"eng"}],"intvolume":"       218","language":[{"iso":"eng"}],"date_updated":"2024-05-07T11:44:34Z","citation":{"chicago":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i> 218 (2024). <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","mla":"Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric Spaces: The Product Case.” <i>Geom Dedicata</i>, vol. 218, 76, 2024, doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","apa":"Weich, T., &#38; Wolf, L. L. (2024). Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>, <i>218</i>, Article 76. <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>","short":"T. Weich, L.L. Wolf, Geom Dedicata 218 (2024).","ieee":"T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product case,” <i>Geom Dedicata</i>, vol. 218, Art. no. 76, 2024, doi: <a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>.","bibtex":"@article{Weich_Wolf_2024, title={Temperedness of locally symmetric spaces: The product case}, volume={218}, DOI={<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>}, number={76}, journal={Geom Dedicata}, author={Weich, Tobias and Wolf, Lasse Lennart}, year={2024} }","ama":"Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case. <i>Geom Dedicata</i>. 2024;218. doi:<a href=\"https://doi.org/10.1007/s10711-024-00904-4\">https://doi.org/10.1007/s10711-024-00904-4</a>"},"article_number":"76","volume":218,"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"_id":"51207","status":"public","date_created":"2024-02-06T21:00:55Z","doi":"https://doi.org/10.1007/s10711-024-00904-4","external_id":{"arxiv":["2304.09573"]},"author":[{"first_name":"Tobias","id":"49178","last_name":"Weich","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919"},{"last_name":"Wolf","full_name":"Wolf, Lasse Lennart","first_name":"Lasse Lennart","id":"45027","orcid":"0000-0001-8893-2045"}],"year":"2024","user_id":"45027"}