Geodesic
Extension theory and localization of resonances for domains of trap type
Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 209-234 
I. Yu. Popov. Extension theory and localization of resonances for domains of trap type. Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 209-234. http://geodesic.mathdoc.fr/item/SM_1992_71_1_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The existence of a series of resonances located near the real axis is proved for the problem of scattering on a domain with a small aperture (narrow slit) (a domain of trap type). A method is presented for computing the resonances, based on a model of slits of zero width, based in turn on the theory of selfadjoint extensions of symmetric operators.

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