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math.CV2008
Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems for orthogonal trigonometric polynomials
Zhihua Du
In this paper, we obtain some analogs of Favard, Baxter, Geronimus, Rakhmanov, Szegö and the strong Szegö theorems appeared in the theory of orthogonal polynomials on the unit circ…
math-ph2008★ 1 cited
Orthogonal Trigonometric Polynomials: Riemann-Hilbert Analysis and Relations with OPUC
Jinyuan Du, Zhihua Du
In this paper, we study the theory of orthogonal trigonometric polynomials (OTP). We obtain asymptotics of OTP with positive and analytic weight functions by Riemann-Hilbert approa…