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Monic non-commutative orthogonal polynomials |
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| Authors: | Michael Anshelevich |
| Affiliation: | Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368 |
| Abstract: | Among all states on the algebra of non-commutative polynomials, we characterize the ones that have monic orthogonal polynomials. The characterizations involve recursion relations, Hankel-type determinants, and a representation as a joint distribution of operators on a Fock space. |
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