{"user_id":"70575","year":"2024","author":[{"full_name":"Delarue, Benjamin","last_name":"Delarue","id":"70575","first_name":"Benjamin"},{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"}],"external_id":{"arxiv":["2403.14426"]},"date_created":"2024-04-11T12:31:18Z","status":"public","_id":"53413","department":[{"_id":"548"}],"type":"preprint","citation":{"apa":"Delarue, B., &#38; Hilgert, J. (2024). Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. In <i>arXiv:2403.14426</i>.","chicago":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>ArXiv:2403.14426</i>, 2024.","mla":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>ArXiv:2403.14426</i>, 2024.","ama":"Delarue B, Hilgert J. Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>arXiv:240314426</i>. Published online 2024.","ieee":"B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical rank one locally  symmetric spaces,” <i>arXiv:2403.14426</i>. 2024.","bibtex":"@article{Delarue_Hilgert_2024, title={Quantum resonances and scattering poles of classical rank one locally  symmetric spaces}, journal={arXiv:2403.14426}, author={Delarue, Benjamin and Hilgert, Joachim}, year={2024} }","short":"B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024)."},"date_updated":"2024-04-11T12:38:45Z","language":[{"iso":"eng"}],"abstract":[{"text":"For negatively curved symmetric spaces it is known that the poles of the\r\nscattering matrices defined via the standard intertwining operators for the\r\nspherical principal representations of the isometry group are either given as\r\npoles of the intertwining operators or as quantum resonances, i.e. poles of the\r\nmeromorphically continued resolvents of the Laplace-Beltrami operator. We\r\nextend this result to classical locally symmetric spaces of negative curvature\r\nwith convex-cocompact fundamental group using results of Bunke and Olbrich. The\r\nmethod of proof forces us to exclude the spectral parameters corresponding to\r\nsingular Poisson transforms.","lang":"eng"}],"publication":"arXiv:2403.14426","title":"Quantum resonances and scattering poles of classical rank one locally  symmetric spaces"}