Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds

Details Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds

2003-11-24

arxiv.org/abs/math/0311424v2

Duke Math. J. 129 (2005), no. 1, 1--37

Mathematics

Spectral Theory

23 pages, 2 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670851