Quantum resonances and scattering poles of classical rank one locally symmetric spaces
B. Delarue, J. Hilgert, ArXiv:2403.14426 (2024).
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Abstract
For negatively curved symmetric spaces it is known that the poles of the
scattering matrices defined via the standard intertwining operators for the
spherical principal representations of the isometry group are either given as
poles of the intertwining operators or as quantum resonances, i.e. poles of the
meromorphically continued resolvents of the Laplace-Beltrami operator. We
extend this result to classical locally symmetric spaces of negative curvature
with convex-cocompact fundamental group using results of Bunke and Olbrich. The
method of proof forces us to exclude the spectral parameters corresponding to
singular Poisson transforms.
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arXiv:2403.14426
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Delarue B, Hilgert J. Quantum resonances and scattering poles of classical rank one locally symmetric spaces. arXiv:240314426. Published online 2024.
Delarue, B., & Hilgert, J. (2024). Quantum resonances and scattering poles of classical rank one locally symmetric spaces. In arXiv:2403.14426.
@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} }
Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally Symmetric Spaces.” ArXiv:2403.14426, 2024.
B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical rank one locally symmetric spaces,” arXiv:2403.14426. 2024.
Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally Symmetric Spaces.” ArXiv:2403.14426, 2024.