Spectral analysis of non-compact manifolds using commutator methods
P. D. Hislop (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “Relative determinants of elliptic operators and scattering theory”
Spectral analysis of non-compact manifolds using commutator methods
Divisor of the Selberg zeta function for kleinian groups
Peter A. Perry (1994)
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On zeta function and scattering poles for several convex bodies
Mitsuru Ikawa (1994)
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On the spectral theory of the laplacian on noncompact hyperbolic manifolds
Shmuel Agmon (1987)
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On the distribution of resonances for some asymptotically hyperbolic manifolds
R. G. Froese, Peter D. Hislop (2000)
Journées équations aux dérivées partielles
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We establish a sharp upper bound for the resonance counting function for a class of asymptotically hyperbolic manifolds in arbitrary dimension, including convex, cocompact hyperbolic manifolds in two dimensions. The proof is based on the construction of a suitable paramatrix for the absolute -matrix that is unitary for real values of the energy. This paramatrix is the -matrix for a model laplacian corresponding to a separable metric near infinity. The proof of the upper bound on the...
The eigenvalues of hypoelliptic operators
A. Menikoff, Johannes Sjöstrand (1977)
Journées équations aux dérivées partielles
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Scattering and resolvent on geometrically finite hyperbolic manifolds with rational cusps
Colin Guillarmou (2005-2006)
Séminaire Équations aux dérivées partielles
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These notes summarize the papers [, ] on the analysis of resolvent, Eisenstein series and scattering operator for geometrically finite hyperbolic quotients with rational non-maximal rank cusps. They complete somehow the talk given at the PDE seminar of Ecole Polytechnique in october 2005.