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arXiv · math/0312389

Relations on noncommutative variables and associated orthogonal polynomials

T. Banks·T. Constantinescu·J. L. Johnson
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Abstract

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.

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T. Banks, T. Constantinescu, J. L. Johnson. 2003-12-19. Relations on noncommutative variables and associated orthogonal polynomials. https://arxiv.org/abs/math/0312389

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