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Descripción
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| Orthogonal sequences of monic polynomials on the unit circle verify the Szegö forward recurrence relation. We introduce a change which transforms the original recurrence in a map on the unit sphere of the algebra of coquaternions. This unit sphere forms a non-compact group isomorphic to SL(2;R). It allows us to introduce a linear area-preserving map. Companion factorization of matrices in SL(2;R) comes out its associated second order linear homogeneous difference equation, with variable coefficients. It provides an explicit representation of the solutions and simplifies the analysis of some features of Szegö recurrence. | |
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Internacional
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No |
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Nombre congreso
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15-th ICDEA Int. Conf. Difference Equations and Applications |
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Tipo de participación
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960 |
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Lugar del congreso
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Estoril (Portugal) |
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Revisores
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Si |
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ISBN o ISSN
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1111111111 |
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DOI
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Fecha inicio congreso
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19/10/2009 |
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Fecha fin congreso
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23/10/2009 |
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Desde la página
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19 |
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Hasta la página
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19 |
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Título de las actas
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15-th ICDEA Int. Conf. Difference Equations and Applications. Abstracts book. |