@incollection{SB_1998-1999__41__175_0,
author = {Burq, Nicolas},
title = {Formules de trace, r\'esonances et quasi-modes},
booktitle = {S\'eminaire Bourbaki : volume 1998/99, expos\'es 850-864},
series = {Ast\'erisque},
note = {talk:856},
pages = {175--190},
year = {2000},
publisher = {Soci\'et\'e math\'ematique de France},
number = {266},
mrnumber = {1772674},
zbl = {1049.35121},
language = {fr},
url = {https://www.numdam.org/item/SB_1998-1999__41__175_0/}
}
TY - CHAP AU - Burq, Nicolas TI - Formules de trace, résonances et quasi-modes BT - Séminaire Bourbaki : volume 1998/99, exposés 850-864 AU - Collectif T3 - Astérisque N1 - talk:856 PY - 2000 SP - 175 EP - 190 IS - 266 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1998-1999__41__175_0/ LA - fr ID - SB_1998-1999__41__175_0 ER -
%0 Book Section %A Burq, Nicolas %T Formules de trace, résonances et quasi-modes %B Séminaire Bourbaki : volume 1998/99, exposés 850-864 %A Collectif %S Astérisque %Z talk:856 %D 2000 %P 175-190 %N 266 %I Société mathématique de France %U https://www.numdam.org/item/SB_1998-1999__41__175_0/ %G fr %F SB_1998-1999__41__175_0
Burq, Nicolas. Formules de trace, résonances et quasi-modes, dans Séminaire Bourbaki : volume 1998/99, exposés 850-864, Astérisque, no. 266 (2000), Exposé no. 856, 16 p.. https://www.numdam.org/item/SB_1998-1999__41__175_0/
[1] et - A class of analytic perturbations for one body schrôdinger hamiltonians, Comm. Math. Phys. 22 (1971), 269-279. | Zbl | MR
[2] et - Short wavelength diffraction theory, asymptotic methods, Wave phenomena, vol. 4, Springer Verlag, Berlin, 1991, traduit du texte russe de 1972 par E.F. Kuester. | Zbl | MR
[3] , et - La relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application à la théorie de la diffusion, Communications in Partial Differential Equations 7 (1982), 905-958. | Zbl | MR
[4] - Décroissance de l'énergie locale de l'équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel, Acta Mathematica 180 (1998), 1-29. | Zbl | MR
[5] et - The time delay operator and a related trace formula, Topics in functional analysis, Advances in Math. Suppl. Studies 47 (1978), no. 3, 197-395. | Zbl | MR
[6] - Kam theory and semiclassical approximation to eigenfunctions, Ergebnisse der Mathematik und ihree Grenzgebiete, vol. 24, Springer Verlag, Berlin, 1993, With an addendum by A.I. Shnirelman. | Zbl | MR
[7] - Scattering theory and the trace of the wave group, Jour. of Func. Anal. 45 (1982), 429-440. | Zbl | MR
[8] - Polynomial bounds on the number of scattering poles, Jour. of Func. Anal. 53 (1983), 287-303. | Zbl | MR
[9] - Quasi-modes for the Laplace operator and glancing hypersurfaces, Proceedings of conference on microlocal analysis and non linear waves (Minnesota) (J. R. M. Beals, R. Melrose, éd.), Springer Verlag, 1989. | Zbl
[10] - Approximate eigenfunctions for the Laplacian, Jour. Diff. Geo. 12 (1977), 87-100. | Zbl | MR
[11] - Relative time-delay for perturbation of elliptic operators and semiclassical asymptotics, Jour. of Func. Anal. 126 (1994), no. 1, 36-82. | Zbl | MR
[12] - Singularités analytiques microlocales, Astérisque, vol. 95, Société mathématique de France, 1982. | Zbl | MR | Numdam
[13] - A trace formula and application to semi-classical Schrôdinger operators, Séminaire E.D.P. du Centre de Mathématiques de l'École Polytechnique II (1996-97).
[14] - A trace formula and review of some estimates for resonances, Microlocal Analysis and Spectral Theory, NATO ASI series C, vol. 490, Kluwer, 1997, 377-437. | Zbl | MR
[15] - Resonances for bottles and trace formula, Prépublication du Centre de Mathématiques de l'École Polytechnique 98-8 (1998).
[16] et - Complex scaling and the distribution of scattering poles, Journal of the A.M.S. 4 (1991), no. 4, 729-769. | Zbl | MR
[17] et - Lower bounds on the number of scattering poles, Comm. in P.D.E. 18 (1993), no. 5-6, 847-857. | Zbl | MR
[18] et - Lower bounds on the number of scattering poles II, Jour. of Func. Anal. 123 (1994), no. 2, 336-367. | Zbl | MR
[19] et - Asymptotic distribution of resonances for convex obstacles, Prépublication du Centre de Mathématiques de l'École Polytechnique 98-6 (1998). | MR
[20] - Quasimodes and resonances : fine lower bounds, Preprint (1998).
[21] et - Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body, Duke Math. Jour. 78 (1996), no. 3, 677-714. | Zbl | MR
[22] et - From quasimodes to resonances, to appear in Math. Res. Lett. (1998). | Zbl | MR







