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Product-type non-commutative polynomial states

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Anshelevich M.

Banach Center Publications

2010

tom 89

nr 1

45-59

In [AnsMonic, AnsBoolean], we investigated monic multivariate non-commutative orthogonal polynomials, their recursions, states of orthogonality, and corresponding continued fraction expansions. In this note, we collect a number of examples, demonstrating what these general results look like for the most important states on non-commutative polynomials, namely for various product states. In particular, we introduce a notion of a product-type state on polynomials, which covers all the non-commutative universal products and excludes some other familiar non-commutative products, and which guarantees a number of nice properties for the corresponding polynomials.

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1 Banach Center Publications

1 Anshelevich M.

1 2010

Wyniki wyszukiwania

Product-type non-commutative polynomial states