Abstract
We use the analogue of the Christoffel’s formula for orthogonal polynomials on the unit circle introduced in [5] to construct a system of orthogonal polynomials on the unit circle with respect to weights of the type \( \left| {\frac{{p\left( z \right)}} {{g\left( z \right)}}} \right|^2 \) , where p(z) and g(z) are arbitrary polynomials. Exact formulas are established for Toeplitz determinants of these weights.
The author supported in part by the grant NFSAT MA 070-02 / CRDF 12011.
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© 2005 Birkhäuser Verlag Basel/Switzerland
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Mikaelyan, L.V. (2005). Orthogonal Polynomials on the Unit Circle with Respect to a Rational Weight Function. In: Langer, M., Luger, A., Woracek, H. (eds) Operator Theory and Indefinite Inner Product Spaces. Operator Theory: Advances and Applications, vol 163. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7516-7_10
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DOI: https://doi.org/10.1007/3-7643-7516-7_10
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