Orthogonal polynomials, measures and recurrences on the unit circle

Author:
Paul Nevai

Journal:
Trans. Amer. Math. Soc. **300** (1987), 175-189

MSC:
Primary 42C05

DOI:
https://doi.org/10.1090/S0002-9947-1987-0871671-9

MathSciNet review:
871671

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: New characterizations are given for orthogonal polynomials on the unit circle and the associated measures in terms of the reflection coefficients in the recurrence equation satisfied by the polynomials.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1987-0871671-9

Keywords:
Orthogonal polynomials,
recurrence formulas,
difference equations,
Szegö Theory

Article copyright:
© Copyright 1987
American Mathematical Society