Add to ORKGAbstract. For geometrically finite hyperbolic manifolds Γ\Hn+1, we prove the mero-morphic extension of the resolvent of Laplacian, Poincare ́ series, Einsenstein series and scattering operator to the whole complex plane. We also deduce the asymptotics of lattice points of Γ in large balls of Hn+1 in terms of the Hausdorff dimension of the limit set of Γ. 1
Abstract. We prove families of uniform (Lr, Ls) resolvent estimates for simply con-nected manifolds ...
AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolve...
AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolve...
Asymptotically hyperbolic manifolds (AHM) are natural generalizations of the hyperbolic space. The s...
Rapporteurs : Peter Perry, Vesselin Petkov / Président : Gilles Carron / Jury : Nicolas Burq, Lauren...
AbstractWe consider families (Yn) of degenerating hyperbolic surfaces. The surfaces are geometricall...
This is the first in a series of papers in which we investigate the resolvent and spectral measure o...
AbstractWe give a detailed description of the Schwartz kernel of the resolvent of the Laplacian on a...
Abstract. For a Riemannian manifold (M, g) which is isometric to the Euclidean space outside of a co...
In this paper we construct a parametrix for the high-energy asymptotics of the analytic continuation...
Abstract. For a large class of complete, non-compact Riemannian manifolds, (M; g), with boundary, we...
We establish effective counting results for lattice points in families of domains in real, complex a...
We establish effective counting results for lattice points in families of domains in real, complex a...
This thesis presents a study of asymptotically complex hyperbolic manifolds and their natural confor...
Abstract. We revisit Vasy’s method [Va1],[Va2] for showing meromorphy of the resolvent for (even) as...
Abstract. We prove families of uniform (Lr, Ls) resolvent estimates for simply con-nected manifolds ...
AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolve...
AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolve...
Asymptotically hyperbolic manifolds (AHM) are natural generalizations of the hyperbolic space. The s...
Rapporteurs : Peter Perry, Vesselin Petkov / Président : Gilles Carron / Jury : Nicolas Burq, Lauren...
AbstractWe consider families (Yn) of degenerating hyperbolic surfaces. The surfaces are geometricall...
This is the first in a series of papers in which we investigate the resolvent and spectral measure o...
AbstractWe give a detailed description of the Schwartz kernel of the resolvent of the Laplacian on a...
Abstract. For a Riemannian manifold (M, g) which is isometric to the Euclidean space outside of a co...
In this paper we construct a parametrix for the high-energy asymptotics of the analytic continuation...
Abstract. For a large class of complete, non-compact Riemannian manifolds, (M; g), with boundary, we...
We establish effective counting results for lattice points in families of domains in real, complex a...
We establish effective counting results for lattice points in families of domains in real, complex a...
This thesis presents a study of asymptotically complex hyperbolic manifolds and their natural confor...
Abstract. We revisit Vasy’s method [Va1],[Va2] for showing meromorphy of the resolvent for (even) as...
Abstract. We prove families of uniform (Lr, Ls) resolvent estimates for simply con-nected manifolds ...
AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolve...
AbstractLet X be a Riemannian surface of finite geometric type and with hyperbolic ends. The resolve...