Pre-sequences of matrix orthogonal polynomials
| Autor: | Tirao, Juan |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | We introduce the notion of a pre-sequence of matrix orthogonal polynomials to mean a sequence {F_n} of matrix orthogonal functions with respect to a weight function W, satisfying a three term recursion relation and such that det(F_0) is not zero almost everywhere. By now there is a uniform construction of such sequences from irreducible spherical functions of some fixed K-types associated to compact symmetric pairs (G,K) of rank one. Our main result is that {Q_n=F_nF_0^{-1}} is a sequence of matrix orthogonal polynomials with respect to the weight function F_0WF_0*, see Theorem 2.1. Comment: 10 pages |
| Databáze: | arXiv |
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