Orthogonal polynomials with respect of a class of Fisher-Hartwig symbols

Abstract

In this paper we give an asymptotic of the coefficients of the orthogonal polynomials on the unit circle, with respect of a weight of type $f:\theta \mapsto \prod _{1\le j\le M}|1-e^{i({\theta }_j-\theta )}{|}^{2{\alpha }_j}c$ with ${\theta }_j\in ]-\pi ,\pi ]$, $-\frac{1}{2}<{\alpha }_j<\frac{1}{2}$ and $c$ a sufficiently smooth function.

arXiv admin note: text overlap with arXiv:1310.4685

References in corpus (1)

• Correction. Efficient parameter estimation for self-similar processes