Scattering matrix for asymptotically euclidean manifolds
Journées équations aux dérivées partielles (1994), article no. 17, 14 p. 
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     author = {Richard Melrose and Maciej Zworski},
     title = {Scattering matrix for asymptotically euclidean manifolds},
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     eid = {17},
     pages = {1--14},
     publisher = {\'Ecole polytechnique},
     year = {1994},
     doi = {10.5802/jedp.472},
     zbl = {0878.58056},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.472/}
}
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Richard Melrose; Maciej Zworski. Scattering matrix for asymptotically euclidean manifolds. Journées équations aux dérivées partielles (1994), article  no. 17, 14 p. doi : 10.5802/jedp.472. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.472/

[1] T. Christiansen. Scattering theory for manifolds with asymptotically cylindrical ends. to appear in J. Func. Anal. | Zbl

[2] L. Hörmander. The Analysis of Linear Partial Differential Operators. Springer Verlag, 1983-1985. | Zbl

[3] P. Lax and R. Phillips. Decaying modes for the wave equation in the exterior of an obstacle. Comm. Pure Appl. Math. 22 (1969), 737-787. | MR | Zbl

[4] R. B. Melrose. Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces. to appear in Spectral and Scattering Theory. M. Ikawa ed., Marcel Dekker, 1994. | MR | Zbl

[5] R. B. Melrose. The Atiyah-Patodi-Singer Index Theorem. A K Peters, Wellesley, MA, 1993. | MR | Zbl

[6] R. B. Melrose. Pseudodifferential Operators, corners and singular limits. Proc. Int. Congress of Mathematicians 1990, Springer Verlag, Kyoto, 217-234. | Zbl

[7] R. B. Melrose and G. Uhlmann. Lagrangian intersections and the Cauchy problem. Comm. Pure and Appl. Math. 2 (1979), 483-519. | MR | Zbl

[8] R. B. Melrose and M. Zworski. Scattering matrix for asymptotically Euclidean manifolds. in preparation.

[9] P. Perry. The Laplace operator on a hyperbolic manifold II. Eisenstein series and the scattering matrix. J. reine angew. Math. 398 (1989), 67-91. | MR | Zbl

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