To the spectral theory of Krein systems

Integral Equations and Operator Theory

Volumn 42, Issue 2, 2002, Pages 166-173

  Denisov, S A ^a,b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036434694     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01275513     Document Type: Article

References (9)

1. N.I. Akhiezer, A.M. Rybalko, "On the continous analogues of polinomials orthogonal on the unit circle", Ukranian Math. J., 20 (1968), 1, 3-24.
2. F.V. Atkinson, Discrete and continous boundary problems, Academic Press, New York, London, 1964.
3. H.L. Cycon, R.G. Froese, W. Kirsh, B. Simon, Schrödinger operators, with applications to quantum mechanics and global geometry, Springer-Verlag, Berlin, New-York, 1987.
4. Y.L. Geronimus, Polinomilas orthoqonal on the unit circle, (in Russian), 1958.
5. M.G. Krein, "Continuous analogues of propositions on polynomials orthogonal on the unit circle", Dokl. Akad. Nauk SSSR, 105 (1955), 637-640.
6. A.M. Rybalko, "On the theory of continual analogues of orthogonal polynomials", Teor. Funktsii, Funktsional. Anal. i Prilozhen., 3 (1966), 42-60.
7. L.A. Sakhnovich, "Spectral theory of a class of canonical systems", Funct. Anal. Appl., No.2, 34 (2000), 119-129.
8. L.A. Sakhnovich, "On a class of canonical systems on half-axis, Integral Equations Operator Theory, 31 (1998), 92-112.
9. L.A. Sakhnovich, Spectral theory of canonical differential systems: method of operator identities, Oper. Theory, Adv. and Applications, Vol.107, Birkhauser Verlag, Basel, Boston, 1999.