Classification theorems for general orthogonal polynomials on the unit circle

Journal of Approximation Theory

Volumn 116, Issue 2, 2002, Pages 268-342

  Khrushchev, S V ^a  

^a ATILIM UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036071576     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2002.3674     Document Type: Article

References (53)

1. On polynomials orthogonal on an arc of a circle
2. Ratio asymptotics for polynomials orthogonal on arc of the unit circle
3. Location of zeros and asymptotics of polynomials satisfying three-term recurrence relations with complex coefficients
4. Strong Asymptotic behavior and weak convergence of polynomials orthogonal on an arc of the unit circle
5. Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle
6. Schurs algorithm for bounded holomorphic functions
7. On the existence of a largest subharmonic minorant of a given function
8. Functions with a given estimate of ∂f/∂z̄ and Levinson's theorem
9. Sur les polynomes de Tchebicheff
10. On the properties of certain continued fractions
11. "Oeuvres,"
12. "Bounded Analytic Functions,"
13. On the character of the solutions of the moment problem in the case of a limit-periodic associated fraction
14. On polynomials orthogonal on the circle, on trigonometric moment problem, and on associated Carathéodory and Schur functions
15. Polynomials orthogonal on a circle and their applications
16. "Polynomials Orthogonal on a Circle and on a Segment,"
17. Perturbation of orthogonal polynomials on an arc of the unit circle
18. Akhiezer's orthogonal polynomials and Bernstein-Szego method for circular arcs
19. Geronimus polynomials and weak convergence on a circular arc
20. Singular measures on the unit circle and their reflection coefficients
21. Césaro asymptotics for orthogonal polynomials and singular measures on the unit circle
22. "The Theory of Interpolation and of Approximation of Functions,"
23. On Levinson's theorem on normal families of analytic functions
24. "Continued Fractions: Analytic Theory and Applications,"
25. Schur functions, Perron-Carathédory fractions, and Szego polynomials, a Survey
26. "Applications of Continued Fractions and of Their Generalizations to Questions of Numerical Analysis,"
27. Euler's papers on the theory of continued fractions (A talk on June 29, 1956 on the 3-rd USSR mathematical congress in Moscow)
28. 2(T)
29. "Gap and Density Theorems,"
30. "Rational Approximations and Orthogonality,"
31. Orthogonal polynomials on arcs of the unit circle, I
32. Orthogonal polynomials on arcs of the unit circle, II
33. Comperative asymptotics for perturbed orthogonal polynomials
34. Asymptotic behaviour for orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients
35. Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients, II Weak asymptotics
36. Strong asymptotics of orthogonal polynomials with the aid of Greens function
37. "Boundary Properties of Analytic Functions,"
38. On the asymptotics of the ratio of orthogonal polynomials
39. On the asymptotics of the ratio of orthogonal polynomials II
40. Orthogonal polynomials from a complex perspective
41. Über Potenzreihen, die im Innen des Einheitskreises beschränkt sind
42. Über Potenzreihen, die im Innen des Einheitskreises beschränkt sind
43. "Orthogonal Polynomials,"
44. On the convergence of algebraic continued fractions whose coefficients have limiting values
45. Continued fractions and bounded analytic functions
46. On positive harmonic functions: A contribution to the algebra of Fourier series
47. On positive harmonic functions
48. Solution of a moment problem for bounded functions
49. On the Fourier constants of a bounded function
50. On the parametric representation of bounded functions