Scattering matrix for asymptotically euclidean manifolds

Richard Melrose; Maciej Zworski

Journées équations aux dérivées partielles (1994)

  • Volume: 1994, page 1-14
  • ISSN: 0752-0360

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Melrose, Richard, and Zworski, Maciej. "Scattering matrix for asymptotically euclidean manifolds." Journées équations aux dérivées partielles 1994 (1994): 1-14. <http://eudml.org/doc/93285>.

@article{Melrose1994,
author = {Melrose, Richard, Zworski, Maciej},
journal = {Journées équations aux dérivées partielles},
keywords = {scattering matrix; geodesic flow; boundary at infinity},
language = {eng},
pages = {1-14},
publisher = {Ecole polytechnique},
title = {Scattering matrix for asymptotically euclidean manifolds},
url = {http://eudml.org/doc/93285},
volume = {1994},
year = {1994},
}

TY - JOUR
AU - Melrose, Richard
AU - Zworski, Maciej
TI - Scattering matrix for asymptotically euclidean manifolds
JO - Journées équations aux dérivées partielles
PY - 1994
PB - Ecole polytechnique
VL - 1994
SP - 1
EP - 14
LA - eng
KW - scattering matrix; geodesic flow; boundary at infinity
UR - http://eudml.org/doc/93285
ER -

References

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  1. [1] T. Christiansen. Scattering theory for manifolds with asymptotically cylindrical ends. to appear in J. Func. Anal. Zbl0837.58034
  2. [2] L. Hörmander. The Analysis of Linear Partial Differential Operators. Springer Verlag, 1983-1985. Zbl0601.35001
  3. [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. Zbl0181.38201MR40 #7641
  4. [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. Zbl0837.35107MR95k:58168
  5. [5] R. B. Melrose. The Atiyah-Patodi-Singer Index Theorem. A K Peters, Wellesley, MA, 1993. Zbl0796.58050MR96g:58180
  6. [6] R. B. Melrose. Pseudodifferential Operators, corners and singular limits. Proc. Int. Congress of Mathematicians 1990, Springer Verlag, Kyoto, 217-234. Zbl0743.58033
  7. [7] R. B. Melrose and G. Uhlmann. Lagrangian intersections and the Cauchy problem. Comm. Pure and Appl. Math. 2 (1979), 483-519. Zbl0396.58006MR81d:58052
  8. [8] R. B. Melrose and M. Zworski. Scattering matrix for asymptotically Euclidean manifolds. in preparation. Zbl0855.58058
  9. [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. Zbl0677.58044MR90g:58138

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