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This article is cited in 10 scientific papers (total in 10 papers)
Limit sets for the discrete spectrum of complex Jacobi matrices
L. B. Golinskii, I. E. Egorova B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine
Abstract:
The discrete spectrum of complex Jacobi matrices that are compact perturbations of the discrete Laplacian is studied. The precise stabilization rate (in the sense of order) of the matrix elements ensuring the finiteness of the discrete spectrum is found. An example of a Jacobi matrix with discrete spectrum having a unique limit point is constructed. These results are discrete analogues of Pavlov's well-known results on Schrödinger operators with complex potential on a half-axis.
Received: 02.02.2004
Citation:
L. B. Golinskii, I. E. Egorova, “Limit sets for the discrete spectrum of complex Jacobi matrices”, Sb. Math., 196:6 (2005), 817–844
Linking options:
https://www.mathnet.ru/eng/sm1364https://doi.org/10.1070/SM2005v196n06ABEH000902 https://www.mathnet.ru/eng/sm/v196/i6/p43
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Abstract page: | 540 | Russian version PDF: | 229 | English version PDF: | 15 | References: | 86 | First page: | 1 |
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