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arXiv · 2305.05922

Resonances of the d'Alembertian on the Anti-de Sitter space $\mathop{\rm{SO_e}}(2,2)/\mathop{\rm{SO_e}}(2,1)$

Simon Roby
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Abstract

We consider the action of the d'Alembertian on the functions on the pseudo-Riemannian 3-dimensional Anti-de Sitter space. We determine the resonances of this operator. With each resonance one can associate a residue representation. We give an explicit description of these representations via Langlands parameters.

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Simon Roby. 2023-05-10. Resonances of the d'Alembertian on the Anti-de Sitter space $\mathop{\rm{SO_e}}(2,2)/\mathop{\rm{SO_e}}(2,1)$. https://arxiv.org/abs/2305.05922

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