Relations on noncommutative variables and associated orthogonal polynomials

Details Relations on noncommutative variables and associated orthogonal polynomials Relations on noncommutative variables and associated orthogonal polynomials

2003-12-19

arxiv.org/abs/math/0312389v1

Mathematics

Functional Analysis

29 pages, 4 figures

Scientific paper

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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