The Golinskii-Ibragimov method and a theorem of Damanik and Killip

International Mathematics Research Notices

Volumn , Issue 36, 2003, Pages 1973-1976

  Simon, Barry ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042158577     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s107379280313084x     Document Type: Article

References (9)

1. D. Damanik and R. Killip, Half-line Schrödinger operators with no bound states, preprint, 2003.
2. T. Erdélyi, P. Nevai, J. Zhang, and J. S. Geronimo, A simple proof of "Favard's theorem" on the unit circle, Atti Sem. Mat. Fis. Univ. Modena 39 (1991), no. 2, 551-556.
3. G. Freud, Orthogonal Polynomials, Pergamon Press, Oxford, 1971.
4. B. L. Golinskii and I. A. Ibragimov, On Szegö's limit theorem, Math. USSR-Izv. 5 (1971), 421-444.
5. L. Golinskii and P. Nevai, Szegö difference equations, transfer matrices and orthogonal polynomials on the unit circle, Comm. Math. Phys. 223 (2001), no. 2, 223-259.
6. G. Szegö, Orthogonal Polynomials, 3rd ed., American Mathematical Society Colloquium Publications, vol. 23, American Mathematical Society, Rhode Island, 1967.
7. S. Jitomirskaya and Y. Last, Power-law subordinacy and singular spectra. I. Half-line operators, Acta Math. 183 (1999), no. 2, 171-189.
8. C. Remling, The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials, Comm. Math. Phys. 193 (1998), no. 1, 151-170.
9. B. Simon, Orthogonal Polynomials on the Unit Circle, to appear in AMS Colloquium Publication Series.