On second kind polynomials associated with rational transformations of linear functionals |
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| Authors: | C. Suá rez |
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| Affiliation: | Dpto. de Matemática Aplicada I, E.T.S.I.I., Campus Lagoas-Marcosende, Universidad de Vigo, E-36200 Vigo, Spain |
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| Abstract: | In this paper the following construction process of orthogonal polynomials on the unit circle is considered: Let u be a regular and hermitian linear functional and let {Φn} be the corresponding orthogonal polynomials sequence. We define a new linear functional L by means the following relation with u: |
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| Keywords: | Orthogonal polynomials Unit circle Bernstein-Szegö polynomials Carathé odory function Measure modification |
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