Determination of an infinite non-self-adjoint Jacobi matrix from its generalized spectral function-Reference-Cited by-同舟云学术

Determination of an infinite non-self-adjoint Jacobi matrix from its generalized spectral function

Published:1978-02 Issue:2 Volume:23 Page:130-136
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Guseinov G. Sh.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01153153.pdf

Reference5 articles.

1. Yu. M. Berezanskii, Eigenfunction Expansions of Self-Adjoint Operators [in Russian], Naukova Dumka, Kiev (1965).

2. K. M. Case and M. Kac, ?A discrete version of the inverse scattering problem,? J. Math. Phys.,14, No. 5, 594?603 (1973).

3. I. M. Gel'fand and B. M. Levitan, ?On the determination of a differential equation from its spectral function,? Izv. Akad. Nauk SSSR, Ser. Mat.,15, No. 4, 309?360 (1951).

4. V. A. Marchenko, ?Eigenfunction expansion of non-self-adjoint singular differential operators of second order,? Mat. Sb.,52, No. 2, 739?788 (1960).

5. N. I. Akhiezer, Classical Moment Problem and Some Related Questions in Analysis, Hafner (1965).

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