Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
Guillarmou, Colin
arXiv, 0311424 / Harvested from arXiv
Text on arXiv
We show that the resolvent of the Laplacian on asymptotically hyperbolic spaces extends meromorphically with finite rank poles to the complex plane if and only if the metric is `even' (in a sense). If it is not even, there exist some cases where the resolvent has an essential singularity in the non-physical sheet.
Publié le : 2003-11-24
Classification:  Mathematics - Spectral Theory,  Mathematical Physics,  Mathematics - Analysis of PDEs,  58J50, 35P25 
@article{0311424,
     author = {Guillarmou, Colin},
     title = {Meromorphic properties of the resolvent on asymptotically hyperbolic
  manifolds},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0311424}
}

Guillarmou, Colin. Meromorphic properties of the resolvent on asymptotically hyperbolic
  manifolds. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0311424/