Sequences of orthogonal Laurent polynomials,bi-orthogonality and quadrature formulas on the unit circle |
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| Authors: | Ruymá n Cruz-Barroso,Leyla Daruis,Pablo Gonzá lez-Vera,Olav Njå stad |
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| Affiliation: | 1. Department of Mathematical Analysis, La Laguna University, 38271 La Laguna, Tenerife, Spain;2. Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491 Trondheim, Norway |
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| Abstract: | ![]()
In this paper, the construction of orthogonal bases in the space of Laurent polynomials on the unit circle is considered. As an application, a connection with the so-called bi-orthogonal systems of trigonometric polynomials is established and quadrature formulas on the unit circle based on Laurent polynomials are studied. |
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| Keywords: | Orthogonal Laurent polynomials Szegö polynomials Quadratures Bi-orthogonality Para-orthogonality |
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