no. 3
Estimates on the number of scattering poles near the real axis for strictly convex obstacles
Annales de l'Institut Fourier, Tome 43 (1993) no. 3, pp. 769-790.

Pour le laplacien de Dirichlet de l’extérieur d’un obstacle strictement convexe, nous montrons que le nombre de pôles de scattering de module ≤r dans un angle θ près de l’axe réel, peut être majoré par Constθ 3/2 r n pour r assez grand dépendant de θ. Ici n est la dimension.

For the Dirichlet Laplacian in the exterior of a strictly convex obstacle, we show that the number of scattering poles of modulus ≤r in a small angle θ near the real axis, can be estimated by Const θ 3/2 r n for r sufficiently large depending on θ. Here n is the dimension.

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     title = {Estimates on the number of scattering poles near the real axis for strictly convex obstacles},
     journal = {Annales de l'Institut Fourier},
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Sjöstrand, Johannes; Zworski, Maciej. Estimates on the number of scattering poles near the real axis for strictly convex obstacles. Annales de l'Institut Fourier, Tome 43 (1993) no. 3, pp. 769-790. doi : 10.5802/aif.1355. http://www.numdam.org/articles/10.5802/aif.1355/

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