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Original Articles

On the heat trace of schrödinger operators

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Pages 2153-2164 | Published online: 18 Nov 2011

References

  • Branson , T. and Gilkey , P. 1990 . The Asymptotics of the Laplacian on a manifold with boundary . Comm. in PDE , 15 ( 2 ) : 245 – 272 .
  • Colin De Verdière , Y. 1981 . Une Formule de Traces Pour l'Operateur de Schrödinger dans ℝ3 . Ann. Scient. Éc. Norm. Sup. 4eme serie t , 14 ( 2 ) : 27 – 39 .
  • Gesztesy , F. 1995 . “ New Trace Formulas for Schrödinger operators ” . In Evolution Equations , Edited by: Ferreyra , Guillermo . Marcel Dekker, Inc. .
  • Gesztesy , F. , Holden , H. , Simon , B. and Zhao , z. 1993 . Trace Formulae and Inverse Spectral Theory for Schrödinger Operators. . Bulletin of the AMS , 29 N°2
  • Lax , P. and Phillips , R. 1969 . Decaying modes for the wave equation in the exterior of an obstacle . Comm. Pure Appl. Math. , 22 : 737 – 787 .
  • Mckean , H.P. and Van Moerbeke , P. 1975 . The Spectrum of Hill's Equation . Inventiones Math. , 30 : 217 – 274 .
  • Melrose , R.B. 1982 . Scattering Theory and the Trace of the Wave Group . Journ. Func. Anal. , 45 : 29 – 44 .
  • R.B. Melrose. Geometric Scattering Theory. Lectures at Stanford University, 1994.
  • Mitrinovi[cgrave] , D.S. “ Analytic Inequalities ” . Vol. 165 , Springer Verlag . Die Grundlehren der Mathematischen Wissenschaften
  • Robert , D. 1991 . Asymptotique à Grande Énergie de la Phase de Diffusion pour un Potentiel . Asymptotic Analysis , 3 : 301 – 320 .
  • Perla Menzala , G. and Schonbek , T. 1984 . Scattering frequencies for the wave equation with a potential term . J. Funct. Anal , 55 : 297 – 322 .
  • A. Sá Barreto and M. Zworski. Existence of Resonances in Dimension Three. To appear in Comm.Math.Phys
  • Simon , B. 1982 . Schrödinger Semigroups . Bulletin of the AMS , 7 ( no.3 )
  • Van den Berg , M. 1991 . On the trace of the difference of Schrödinger heat semigroups . Proceedings of the Royal Society of Edinburg , 119A ( no.3 ) : 169 – 175 .

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