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On the Discrete Spectrum of Complex Banded Matrices
Репозиторій DSpace/Manakin
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On the Discrete Spectrum of Complex Banded Matrices
Посилання:
On the Discrete Spectrum of Complex Banded Matrices / L. Golinskii, M. Kudryavtsev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 396-423. — Бібліогр.: 10 назв. — англ.
Підтримка:
The Authors thank Prof. M. Pituk for his helpful comments on the asymptotic behavior of the solutions of linear difference equations and for the reference to [6].
Дата:
2006
Переглядів:
716
Завантажень:
424
Анотація:
The discrete spectrum of complex banded matrices that are compact perturbations of the standard banded matrix of order p is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of the discrete spectrum is found. The p-banded matrix with the discrete spectrum having exactly p limit points on the interval (-2, 2) is constructed. The results are applied to study the discrete spectrum of asymptotically periodic Jacobi matrices.
