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This article is cited in 13 scientific papers (total in 13 papers)
Determination of an infinite non-self-adjoint Jacobi matrix from its generalized spectral function
G. Sh. Guseinov M. V. Lomonosov Moscow State University
Abstract:
Restoration from the generalized spectral function of the equations
\begin{gather*}
b_0y_0+a_0y_1=\lambda y_2,
\\
a_{n-1}y_{n-1}+b_ny_n+a_ny_{n+1}=\lambda y_n,\quad n=1,2,3,\dots,
\end{gather*}
where $a_n$ and $b_n$ are arbitrary complex numbers, $a_n\ne0$ ($n=0,1,2,\dots$), $\lambda$ is a complex parameter, and $\{y_n\}_0^\infty$ infin is the required solution, is investigated. Necessary and sufficient conditions for solvability of the inverse problem are obtained, and the restoration procedure is described.
Received: 22.12.1976
Citation:
G. Sh. Guseinov, “Determination of an infinite non-self-adjoint Jacobi matrix from its generalized spectral function”, Mat. Zametki, 23:2 (1978), 237–248; Math. Notes, 23:2 (1978), 130–136
Linking options:
https://www.mathnet.ru/eng/mzm8137 https://www.mathnet.ru/eng/mzm/v23/i2/p237
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Abstract page: | 243 | Full-text PDF : | 101 | First page: | 1 |
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