The Wave Group on Asymptotically Hyperbolic Manifolds

  title={The Wave Group on Asymptotically Hyperbolic Manifolds},
  author={S. Joshi}
We show that the wave group on asymptotically hyperbolic manifolds belongs to an appropriate class of Fourier integral operators. Then we use now standard techniques to analyze its (regularized) trace. We prove that, as in the case of compact manifolds without boundary, the singularities of the regularized wave trace are contained in the set of periods of closed geodesics. We also obtain an asymptotic expansion for the trace at zero. 

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Publications referenced by this paper.
Showing 1-10 of 23 references

Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature

R. Mazzeo, R. B. Melrose
Journal of Functional Analysis, • 1987
View 13 Excerpts
Highly Influenced

Transformation of boundary value problems

R. B. Melrose
Acta Mathematica, • 1981
View 4 Excerpts
Highly Influenced

The spectrum of positive elliptic operators and periodic bicharacteristics

J. Duistermaat, V. W. Guillemin
Inventiones mathematicae 29, • 1975
View 5 Excerpts
Highly Influenced

Weyl asymptotics for the Laplacian on asymptotically Euclidean spaces

T. Christiansen
American J. of Math. 121, • 1999
View 1 Excerpt

Non-linear interaction of a cusp and a plane

R. B. Melrose, A. S a Barreto
Comm. in P.D.E, • 1995
View 2 Excerpts

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