This article is cited in 2 scientific papers (total in 2 papers)
Defect indices of $J_m$-matrices and of differential operators with polynomial coefficients
A. L. Chistyakov
The problem of the defect indices of the symmetric operator $C$ which acts on the space $l_2$ and is generated by a regular Hermitian $J_m$-matrix with increasing elements is investigated. The asymptotics, as $k\to\infty$, of the eigenvectors $U=(u_0,u_1,…,u_k,…)$ of the operator $C^*$ which correspond to the nonreal eigenvalues are obtained. The results are applied to ordinary differential operators with polynomial coefficients defined on the entire $x$-axis.
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Mathematics of the USSR-Sbornik, 1971, 14:4, 471–500
MSC: Primary 47B25, 47E05; Secondary 15A21
A. L. Chistyakov, “Defect indices of $J_m$-matrices and of differential operators with polynomial coefficients”, Mat. Sb. (N.S.), 85(127):4(8) (1971), 474–503; Math. USSR-Sb., 14:4 (1971), 471–500
Citation in format AMSBIB
\paper Defect indices of $J_m$-matrices and of differential operators with polynomial coefficients
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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A. G. Kostyuchenko, K. A. Mirzoev, “Generalized Jacobi Matrices and Deficiency Numbers of Ordinary Differential Operators with Polynomial Coefficients”, Funct. Anal. Appl., 33:1 (1999), 25–37
Nagy B., “Multiplicities, Generalized Jacobi Matrices, and Symmetric Operators”, Journal of Operator Theory, 65:1 (2011), 211–232
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