Relations on noncommutative variables and associated orthogonal polynomials
T. Banks, T. Constantinescu, J. L. Johnson
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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