Spectral analysis of non-compact manifolds using commutator methods
P. D. Hislop (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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P. D. Hislop (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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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.
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...
Werner Müller (1996)
Journées équations aux dérivées partielles
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Peter A. Perry (1994)
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Arne Jensen (1980)
Annales de l'I.H.P. Physique théorique
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P. D. Lax, R. S. Phillips (1973-1974)
Séminaire Équations aux dérivées partielles (Polytechnique)
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