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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)
Full Text: DOI

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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