Inverse scattering theory for perturbations of rank one
Preben Alsholm
Source: Duke Math. J. Volume 47, Number 2
(1980), 391-398.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077314041
Mathematical Reviews number (MathSciNet): MR575903
Zentralblatt MATH identifier: 0445.47008
Digital Object Identifier: doi:10.1215/S0012-7094-80-04723-7
References
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Mathematical Reviews (MathSciNet): MR25:2447
Zentralblatt MATH: 0196.45004
[2] T. Dreyfus, The determinant of the scattering matrix and its relation to the number of eigenvalues, J. Math. Anal. Appl. 64 (1978), no. 1, 114–134.
Mathematical Reviews (MathSciNet): MR80a:47017
Zentralblatt MATH: 0382.47005
Digital Object Identifier: doi:10.1016/0022-247X(78)90024-0
[3] A. Jensen and T. Kato, Asymptotic behavior of the scattering phase for exterior domains, Comm. Partial Differential Equations 3 (1978), no. 12, 1165–1195.
Mathematical Reviews (MathSciNet): MR80g:35098
Zentralblatt MATH: 0419.35067
Digital Object Identifier: doi:10.1080/03605307808820089
[4] T. Kato, Perturbation theory for linear operators, Springer-Verlag, Berlin, 1976.
Mathematical Reviews (MathSciNet): MR53:11389
Zentralblatt MATH: 0342.47009
[5] M. G. Kreĭ n, On perturbation determinants and a trace formula for unitary and self-adjoint operators, Dokl. Akad. Nauk SSSR 144 (1962), 268–271.
Mathematical Reviews (MathSciNet): MR25:2446
[6] M. H. Stone, Linear transformations in Hilbert space, vol. XV, Amer. Math. Soc. Colloq. Publ., 1932.
Zentralblatt MATH: 0005.40003
Mathematical Reviews (MathSciNet): MR1451877
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