Spectral analysis of non-compact manifolds using commutator methods
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1987-1988), Exposé no. 8, 11 p.
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     title = {Spectral analysis of non-compact manifolds using commutator methods},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:8},
     pages = {1--11},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1987-1988},
     mrnumber = {1018180},
     zbl = {0657.58045},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1987-1988____A8_0/}
}
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Hislop, P. D. Spectral analysis of non-compact manifolds using commutator methods. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1987-1988), Exposé no. 8, 11 p. http://www.numdam.org/item/SEDP_1987-1988____A8_0/

[1] R.G. Froese, P.D. Hislop, Spectral Analysis of Second-Order Elliptic Operators on Non-compact Manifolds, to appear in Duke Mathematical Journal (1988) . | Zbl

[2] I. Chavel, Eigenvalues in Riemannian Geometry. New York: Academic Press 1984. | MR | Zbl

[3] J. Cheeger, D. Ebin, Comparison Theorems in Riemannian Geometry. Amsterdam: North Holland Publishing Co. 1975. | MR | Zbl

[4] E. Mourre, Absence of Singular Continuous Spectrum for certain selfadjoint Operators. Commun. Math. Phys. 78, 391-408 (1981). | MR | Zbl

[5] A. Selberg, Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemmannian Spaces with Applications to Dirichlet Series. J. Ind. Math. Soc. 20, 47-87 (1956). | MR | Zbl

[6] P. Lax, R.S. Phillips, Translation Representation for Automorphic Solutions of the non-Euclidean Wave Equation I, II, III. C.P.A.M. 37, 303-328 (1984); 37, 779-813 (1984); 38, 179-208 (1985). | MR | Zbl

[7] S.J. Patterson, The Laplacian Operator on a Riemann Surface I, II, III. Compositio Math. 31, 83-107 (1975); 32, 71-112 (1976); 33, 227-259 (1976). | Numdam | MR | Zbl

[8] P.A. Perry, The Laplace Operator on a Hyperbolic Manifold I. Spectral and Scattering Theory. J. Funct. Anal. 75 161-182 (1987) (1988). | MR | Zbl

[9] S. Agmon, Spectral Theory of Schrödinger Operators on Euclidean and non-Euclidean Spaces. C.P.A.M. 39,par.3 par.16, Number S, Supplement (1986). | MR | Zbl

[10] R. Mazzeo, R. Melrose, Meromorphic Extension of the Resolvent on Complete spaces with Asymptotically Constant Negative Curvature. J. Funct. Anal. 75, 260-310 (1987). | MR | Zbl

[11] H.L. Cyon, R.G. Froese, W. Kirsch, B. Simon, Schrödinger Operators, with Application to Quantum Mechanics and Global Geometry. Berlin: Springer-Verlag 1987. | MR | Zbl

[12] R.G. Froese, P.D. Hislop, Analysis of the Point Spectrum of Second Order Elliptic Operators on Non-compact Manifolds, preprint (1988).

[13] S. Debievre, P.D. Hislop, Scattering Theory for the Wave and Schrödinger Equations on Non-compact Manifolds, preprint (1988). | Zbl

[14] R. Froese, I. Herbst, Exponential Bounds and Absence of positive Eigenvalues for N-Body Schrödinger Operators. Commun. Math. Phys. 87, 429-447 (1982). | MR | Zbl

[15] P. Lax, R.S. Phillips, Scattering Theory for Automorphic Functions. Annals of Mathematics Studies 87. Princeton: Princeton University Press 1976. | MR | Zbl

[16] Y. Colin De Verdiere, Pseudo-Laplacians II. Ann. Inst. Fourier 33, 87-113 (1983). | EuDML | Numdam | MR | Zbl