article Tobias Weich author 491780000-0002-9648-6919 Lasse Lennart Wolf author 450270000-0001-8893-2045 10 department 623 department 548 department Let $X=X_1\times X_2$ be a product of two rank one symmetric spaces of non-compact type and $\Gamma$ a torsion-free discrete subgroup in $G_1\times G_2$. We show that the spectrum of $\Gamma \backslash X$ is related to the asymptotic growth of $\Gamma$ in the two direction defined by the two factors. We obtain that $L^2(\Gamma \backslash G)$ is tempered for large class of $\Gamma$. 2024 eng 2304.09573https://doi.org/10.1007/s10711-024-00904-4 218 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> 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>. 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>. 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> 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>. T. Weich, L.L. Wolf, Geom Dedicata 218 (2024). @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} } 512072024-02-06T21:00:55Z2024-05-07T11:44:34Z