Remarks on the Distribution of Resonances in Odd Dimensional Euclidean Scattering

@inproceedings{BarretoRemarksOT,
  title={Remarks on the Distribution of Resonances in Odd Dimensional Euclidean Scattering},
  author={Armando Barreto}
}
In this article we present some elementary applications of the theory of meromorphic functions to Scattering Theory, in particular to the distribution of resonances (or scattering poles) for a compactly supported perturbation of the Laplacian in R , n 3 odd. The methods used here are based on those of [3]. The study of the distribution on resonances is a topic of interest in mathematical physics and has received much attention in recent years, see for example [20, 21] and references cited there… CONTINUE READING

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References

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Showing 1-10 of 21 references

Some lower bounds on the number of resonances in Euclidean Scattering

  • T. Christiansen
  • Math. Res. Letters
  • 1999
Highly Influential
9 Excerpts

Meromorphic functions

  • W. Hayman
  • 1964
Highly Influential
3 Excerpts

Spectral asymptotics for compactly supported perturbations of the Laplacian on

  • T. Christiansen
  • Rn: Comm. im Partial Di . Equations
  • 1998
1 Excerpt

Poisson formulae for resonances. S eminaire sur les Equations aux D eriv ees Partielles, 1996-1997

  • M. Zworski
  • Exp. No. XIII,
  • 1997
3 Excerpts

Generic simplicity of resonances

  • F. Klopp, M. Zworski
  • Helv. Phys. Acta 68,
  • 1995

Counting scattering poles

  • M. Zworski
  • Spectral and Scattering Theory. M. Ikawa editor…
  • 1994
1 Excerpt

Asymptotique de la phase de di usion a haute energie pour des perturbations du second ordre du Laplacien

  • D. Robert
  • Ann. Scient. Ec. Norm. Sup. 4e s erie,
  • 1992
1 Excerpt

On the distribution of scattering poles for perturbations of the Laplacian

  • G. Vodev
  • Ann. Inst. Fourier (Grenoble)
  • 1992

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