Inverse theorems for Jacobi matrices. (English) Zbl 0288.15028
MSC:
15B57 | Hermitian, skew-Hermitian, and related matrices |
15A18 | Eigenvalues, singular values, and eigenvectors |
30C10 | Polynomials and rational functions of one complex variable |
30D20 | Entire functions of one complex variable (general theory) |
References:
[1] | Akhiezer, N. I., The Classical Moment Problem (1965), Oliver and Boyd: Oliver and Boyd Edinburgh · Zbl 0135.33803 |
[2] | Borg, G., Eine Umkehrung der Sturm-Liouvilleschen Aufgabe, Acta Math., 78, 1-96 (1945) · Zbl 0063.00523 |
[3] | Hochstadt, H., On some inverse problems in matrix theory, Archiv Der Math., 18, 201-207 (1967) · Zbl 0147.27701 |
[4] | H. HochstadtJ. Lin. Alg.; H. HochstadtJ. Lin. Alg. · Zbl 0288.15029 |
[5] | H. Hochstadt; H. Hochstadt · Zbl 0281.34015 |
[6] | Levinson, N., The inverse Sturm-Liouville problem, Mat. Tidsskr., B, 25-30 (1949) · Zbl 0041.42310 |
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