Sharp bounds for the number of the scattering poles
Vodev, Georgi
Journées équations aux dérivées partielles, (1992), p. 1-5 / Harvested from Numdam
Publié le : 1992-01-01
@article{JEDP_1992____A6_0,
     author = {Vodev, Georgi},
     title = {Sharp bounds for the number of the scattering poles},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1992},
     pages = {1-5},
     zbl = {0771.35039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1992____A6_0}
}
Vodev, Georgi. Sharp bounds for the number of the scattering poles. Journées équations aux dérivées partielles,  (1992), pp. 1-5. http://gdmltest.u-ga.fr/item/JEDP_1992____A6_0/

[1] A. Intissar, A polynomial bound on the number of scattering poles for a potential in even dimensional space in Rn, Commun. P.D.E. 11 (1986), 367-386. | MR 87j:35286 | Zbl 0607.35069

[2] P. D. Lax and R. S. Phillips, Scattering Theory, New York, Academic Press, 1967. | Zbl 0186.16301

[3] R. B. Melrose, Polynomial bounds on the number of scattering poles, J. Funct. Anal. 53 (1983), 287-303. | MR 85k:35180 | Zbl 0535.35067

[4] R. B. Melrose, Polynomial bounds on the distribution of the poles in scattering by obstacle, Journées «Equations aux Dérivées Partielles», Saint-Jean-de-Montes, 1984. | Numdam | Zbl 0621.35073

[5] J. Sjöstrand and M. Zworski, Complex scaling and distribution of the scattering poles, J. Amer. Math. Soc. 4 (1991), 729-769. | MR 92g:35166 | Zbl 0752.35046

[6] J. Sjöstrand and M. Zworski, Distribution of scattering poles near real axis, Commun. P.D.E., to appear. | Zbl 0766.35031

[7] J. Sjöstrand and M. Zworski, Lower bounds on the number of scattering poles, preprint, 1992.

[8] E. Titchmarsh, The Theory of Functions, Oxford University Press, 1968.

[9] G. Vodev, Sharp polynomial bounds on the number of scattering poles for metric perturbations of the Laplacian in Rn, Math. Ann. 291 (1991), 39-49. | MR 93f:47060 | Zbl 0754.35105

[10] G. Vodev, Sharp bounds on the number of scattering poles for perturbations of the Laplacian, Commun. Math. Phys. 146 (1992), 205-216. | MR 93f:35173 | Zbl 0766.35032

[11] G. Vodev, On the distribution of scattering poles for perturbations of the Laplacian, Ann. Inst. Fourier (Grenoble) 42 (1992), to appear. | Numdam | MR 93i:35098 | Zbl 0738.35054

[12] M. Zworski, Sharp polynomial bounds on the number of scattering poles of radial potentials, J. Funct. Anal. 82 (1989), 370-403. | MR 90d:35233 | Zbl 0681.47002

[13] M. Zworski, Sharp polynomial bounds on the number of scattering poles, Duke Math. J. 59 (1989), 311-323. | MR 90h:35190 | Zbl 0705.35099