Publication Cover
Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Scattering on the system of the sparse bumps: multidimensional case

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Pages 167-185 | Received 01 Jul 1998, Published online: 20 Jan 2011

References

  • Aizenman , M. and Molchanov , S. 1993 . Localization at large disorder and at extreme energies: an elementary derivation . Commun. Math. Phys , 157 : 245 – 278 .
  • Carmona , R. and Lecroix , J. 1990 . Spectral Theory of Random Schrodinger Operator , Birkhauser .
  • Fröhlich , J. , Spencer , T. and Kato , T. 1966 . Perturbation Theory for linear operators , Berlin-N.Y : Springer-Verlag .
  • Kato , T. 1966 . Perturbation Theory for linear operators , Berlin-N.Y. : Springer-Verlag .
  • Katznelson , Y. 1976 . An Introduction to Harmonic Analysis , Dover .
  • Klein . 1998 . Extended states in the Anderson model on the Bthe lattice . Advances in Mathematics , 133 : 163 – 184 .
  • Kisilev , A. , Last , Y. and Simon , B. 1997 . Modified Priifer and EFCP transforms and the spectral analysis of one-dimensional Schrodinger operators , Caltech : preprint .
  • Molchanov , S. 1581, 1994 . Lectures on random media, Lectures Notes in Math , 242 – 411 . Springer .
  • 1998 . Multiscattering on the sparse bumpse . Contemporary Mathematics, AMS , 217 : 157 – 181 .
  • Pastur , L. and Figotin , A. 1992 . Spectra of Random and Almost Periodic Operators , Springer .
  • Pearson , D. 1976 . Singular continuous measures in scattering theory . Commun. Math. Phys , 60 : 13 – 36 .
  • Saks , S. 1937 . Theory of the Integral , N.Y : G.E. Stechert .
  • Simon , B. 1993 . Spectral analysis on rank one perturbations and applications, Lectures at Vancouver Summer School in Math . Physics ,
  • Simon , B. and Wolf , T. 1986 . Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians . Comm. Pure and Appl. Math , 39 : 75 – 90 .
  • Vainberg , B. 1989 . Asymptotic Methods in Equations of Mathematical Physics , N. Y.-London-Paris : Gordon and Breach Publishers .

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