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Sequences of orthogonal Laurent polynomials,bi-orthogonality and quadrature formulas on the unit circle
Authors:Ruymán Cruz-Barroso  Leyla Daruis  Pablo González-Vera  Olav NjÅstad
Institution: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
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.
Keywords:41A55  33C45  65D30
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