@article{ASENS_2000_4_33_3_361_0, author = {Stoyanov, Luchezar}, title = {Generalized {Hamilton} flow and {Poisson} relation for the scattering kernel}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {361--382}, publisher = {Elsevier}, volume = {Ser. 4, 33}, number = {3}, year = {2000}, doi = {10.1016/s0012-9593(00)00115-4}, mrnumber = {2001g:37120}, zbl = {0963.37055}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/s0012-9593(00)00115-4/} }
TY - JOUR AU - Stoyanov, Luchezar TI - Generalized Hamilton flow and Poisson relation for the scattering kernel JO - Annales scientifiques de l'École Normale Supérieure PY - 2000 SP - 361 EP - 382 VL - 33 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(00)00115-4/ DO - 10.1016/s0012-9593(00)00115-4 LA - en ID - ASENS_2000_4_33_3_361_0 ER -
%0 Journal Article %A Stoyanov, Luchezar %T Generalized Hamilton flow and Poisson relation for the scattering kernel %J Annales scientifiques de l'École Normale Supérieure %D 2000 %P 361-382 %V 33 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(00)00115-4/ %R 10.1016/s0012-9593(00)00115-4 %G en %F ASENS_2000_4_33_3_361_0
Stoyanov, Luchezar. Generalized Hamilton flow and Poisson relation for the scattering kernel. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 3, pp. 361-382. doi : 10.1016/s0012-9593(00)00115-4. http://archive.numdam.org/articles/10.1016/s0012-9593(00)00115-4/
[1] Foundations of Mechanics, London, Benjamin/Cummings, 1978. | MR | Zbl
, ,[2] Measure, Topology, and Fractal Geometry, New York, Springer, 1990. | MR | Zbl
,[3] Sojourn time and asymptotic properties of the scattering matrix, Publ. RIMS Kyoto Univ. 12 (1977) 69-88. | MR | Zbl
,[4] The Analysis of Linear Partial Differential Operators, Vol. III, Berlin, Springer, 1985. | Zbl
,[5] Scattering Theory, Academic Press, New York, 1967. | Zbl
, ,[6] Microlocal parametrices for diffractive boundary value problems, Duke Math. J. 42 (1975) 605-635. | MR | Zbl
,[7] Geometric Scattering Theory, Cambridge Univ. Press, Cambridge, 1994. | Zbl
,[8] Singularities in boundary value problems, I, Comm. Pure Appl. Math. 31 (1978) 593-617. | Zbl
, ,[9] Singularities in boundary value problems, II, Comm. Pure Appl. Math. 35 (1982) 129-168. | Zbl
, ,[10] Decay of solutions to the wave equation outside nontrapping obstacles, Comm. Pure Appl. Math. 30 (1977) 447-508. | MR | Zbl
, , ,[11] High frequency asymptotics of the scattering amplitude for non-convex bodies, Comm. Partial Differential Equations 5 (1980) 293-329. | MR | Zbl
,[12] Geometry of Reflecting Rays and Inverse Spectral Problems, Chichester, Wiley, 1992. | MR | Zbl
, ,[13] Sojourn times of trapping rays and the behaviour of the modified resolvent of the Laplacian, Ann. Inst. Henri Poincaré (Physique Théorique) 62 (1995) 17-45. | EuDML | Numdam | MR | Zbl
, ,[14] Rigidity of the scattering length spectrum, Preprint 1997/1998. | MR | Zbl
,[15] Poisson relation for the scattering kernel and inverse scattering by obstacles, in : Séminaire EDP, Exposé V, École Polytechnique, 1994-1995. | EuDML | Numdam | MR | Zbl
,[16] Grazing rays and reflection of singularities to wave equations, Comm. Pure Appl. Math. 29 (1976) 1-38. | MR | Zbl
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