Quantum-Classical Correspondences for Locally Symmetric Spaces

J Hilgert - arXiv preprint arXiv:2303.00578, 2023 - arxiv.org
We review the status of a program, outlined and motivated in the introduction, for the study of
correspondences between spectral invariants of partially hyperbolic flows on locally …

Resonances of the d'Alembertian on the anti‐de Sitter space SO e (2, 2)/SO e (2, 1) SO_e(2,2)/SO_e(2,1)

S Roby - Mathematische Nachrichten, 2024 - Wiley Online Library
We consider the action of the d'Alembertian on functions on the pseudo‐Riemannian three‐
dimensional anti‐de Sitter space. We determine the resonances of this operator. With each …

A Note on a Capelli Operator and its Resonance

R Bramati - Analysis and PDE Workshop, 2021 - Springer
We study in parallel the resonances of the standard Laplacian on ℝ 3 and of a Capelli
operator on ℝ 2 by exploiting their invariance under two appropriate group actions. In …