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Título:
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Christoffel transformation for a matrix of Bi-variate measures.
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Autores:
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García Ardila, Juan ;
Mañas Baena, Manuel ;
Marcellan, Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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Springer basel AG, 2019-11
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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We consider the sequences of matrix bi-orthogonal polynomials with respect to the bilinear forms ((R) over cap) and ((L) over cap) (L) over cap = (TxT)integral P(z(1))L(z(1))d mu(z(1), z(2))Q(z(2)), where mu(z1, z2) is a matrix of bi-variate measures supported on T x T, with T the unit circle, L pxp[ z] is the set of matrix Laurent polynomials of size p x p and L(z) is a special polynomial in L pxp[ z]. A connection formula between the sequences of matrix Laurent bi-orthogonal polynomials with respect to ((R) over cap) and resp ((L) over cap) and the sequence of matrix Laurent bi-orthogonal polynomials with respect to d mu(z(1), z(2)) is given.
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En línea:
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https://eprints.ucm.es/58662/1/ma%C3%B1as74preprint.pdf
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