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- W2124916231 abstract "espanolEn este trabajo, exponemos brevemente, los elementos basicos de la teoria de funciones racionales ortogonales. Nos centraremos en dos casos fundamentales: I. Todos los polos se encuentran fuera del disco unidad cerrado, estando las medidas de ortogonalidad soportadas sobre la circunferencia unidad. II. Todos los polos se hallan sobre la recta real extendida, y las medidas de ortogonalidad con soporte en el eje real. Tales situaciones generalizan la teoria de polinomios ortogonales sobre la circunferencia unidad (Polinomios de Szegei) y la teoria de polinomios ortogonales sobre la recta real. EnglishWe give a brief survey to sorne basic elements of the theory of orthogonal rational functions. Two main cases are treated separately: I. Ali the poles are outside the closed unit disk, and the orthogonality measures have support in the unit circle. II. Ali the poles are on the extended real line, and the orthogonality measures have support in the real line. These situations generalize the theory of orthogonal polynomials on the unit circle (Szegei polynomials) and the theory of orthognal polynomials on the real line." @default.
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- W2124916231 date "1999-01-01" @default.
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- W2124916231 title "Elements of a theory of orthogonal rational functions" @default.
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