On the Strong Asymptotics for Sobolev Orthogonal Polynomials on the Circle |
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| Authors: | Berriochoa and Cachafeiro |
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| Affiliation: | (1) Departamento de Matemática Aplicada Facultad de Ciencias Universidad de Vigo Orense Spain esnaola@correo.uvigo.es, ES;(2) Departamento de Matemática Aplicada E.T.S. Ingenieros Industriales Universidad de Vigo 36280 Vigo Spain acachafe@dma.uvigo.es, ES |
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| Abstract: | In the present paper we prove Szegő's asymptotic theorem for the orthogonal polynomials with respect to a Sobolev inner product of the following type: with μ i , i=0,···,p-1, finite positive Borel measures on [0,2π] and μ p a measure in the Szegő class. |
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| Keywords: | . Orthogonal polynomials, Sobolev inner products, Szegő 's theory. AMS Classification. 33C47, 42C05. |
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