Sharp bounds on the number of resonances for symmetric systems

G. Vodev

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 62, Issue: 4, page 401-407
  • ISSN: 0246-0211

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Vodev, G.. "Sharp bounds on the number of resonances for symmetric systems." Annales de l'I.H.P. Physique théorique 62.4 (1995): 401-407. <http://eudml.org/doc/76681>.

@article{Vodev1995,
author = {Vodev, G.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {scattering poles; compactly supported perturbations of the Laplacian},
language = {eng},
number = {4},
pages = {401-407},
publisher = {Gauthier-Villars},
title = {Sharp bounds on the number of resonances for symmetric systems},
url = {http://eudml.org/doc/76681},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Vodev, G.
TI - Sharp bounds on the number of resonances for symmetric systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 62
IS - 4
SP - 401
EP - 407
LA - eng
KW - scattering poles; compactly supported perturbations of the Laplacian
UR - http://eudml.org/doc/76681
ER -

References

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  1. [1] L. Guillopé and M. Zworski, Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity, Asympt. Anal., to appear. Zbl0859.58028MR1344252
  2. [2] R.B. Melrose, Polynomial bounds on the distribution of poles in scattering by an obstacle, Joumées Equations aux Dérivées partielles, Saint-Jean de Monts, 1984. Zbl0621.35073
  3. [3] J. Sjöstrand and M. Zworski, Complex scaling and the distribution of scattering poles, J. Amer. Math. Soc., Vol. 4, 1991, pp. 729-769. Zbl0752.35046MR1115789
  4. [4] G. Vodev, Polynomial bounds on the number of scattering poles for symmetric systems, Ann. Inst. H. Poincaré (Physique Théorique), Vol. 54, 1991, pp. 199-208. Zbl0816.35101MR1110652
  5. [5] G. Vodev, Sharp polynomial bounds on the number of scattering poles for metric perturbations of the Laplacian in Rn, Math. Ann., Vol. 291, 1991, pp. 39-49. Zbl0754.35105MR1125006
  6. [6] G. Vodev, Sharp bounds on the number of scattering poles for perturbations of the Laplacian, Commun. Math. Phys., Vol. 146, 1992, pp. 205-216. Zbl0766.35032MR1163673
  7. [7] G. Vodev, Sharp bounds on the number of scattering poles in even-dimensional spaces, Duke Math. J., Vol. 74, 1994, pp. 1-17. Zbl0813.35075MR1271461
  8. [8] M. Zworski, Sharp polynomial bounds on the number of scattering poles, Duke Math. J., Vol. 59, 1989, pp. 311-323. Zbl0705.35099MR1016891

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