Relations on noncommutative variables and associated orthogonal polynomials

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This semi-expository paper surveys results concerning three classes of orthogonal polynomials: in one non-hermitian variable, in several isometric non-commuting variables, and in several hermitian non-commuting variables. The emphasis is on some dilation theoretic techniques that are also described in some details.
29 pages, 4 figures

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Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/69665

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312389
 http://arxiv.org/abs/math/0312389

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arXiv