Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type
| dc.creator | Mazzeo, Rafe | |
| dc.creator | Vasy, Andras | |
| dc.date | 2003-08-06 | |
| dc.date | 2003-08-06 | |
| dc.date.accessioned | 2026-07-07T05:00:08Z | |
| dc.date.available | 2026-07-07T05:00:08Z | |
| dc.description | Let $(M,g)$ be a globally symmetric space of noncompact type, of arbitrary rank, and $Δ$ its Laplacian. We prove the existence of a meromorphic continuation of the resolvent $(Δ-\ev)^{-1}$ across the continuous spectrum to a Riemann surface multiply covering the plane. The methods are purely analytic and are adapted from quantum $N$-body scattering. | |
| dc.description | 41 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0308043 | |
| dc.identifier | http://arxiv.org/abs/math/0308043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68252 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 58J50; 53C35; 35P25; 22E30 | |
| dc.title | Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type | |
| dc.type | text |