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Monic non-commutative orthogonal polynomials
Author(s):
Michael
Anshelevich
Journal:
Proc. Amer. Math. Soc.
136
(2008),
2395-2405.
MSC (2000):
Primary 05E35;
Secondary 46Nxx
Posted:
February 20, 2008
MathSciNet review:
2390506
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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.
References:
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Additional Information:
Michael
Anshelevich
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
Email:
manshel@math.tamu.edu
DOI:
10.1090/S0002-9939-08-09306-4
PII:
S 0002-9939(08)09306-4
Received by editor(s):
February 8, 2007,
Received by editor(s) in revised form:
June 19, 2007
Posted:
February 20, 2008
Additional Notes:
This work was supported in part by NSF grant DMS-0613195
Communicated by:
Jim Haglund
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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