The symmetrization problem in the theory of multiple orthogonal polynomials
 
 
Description:  For a symmetric sequence of type II multiple ortogonal polynomials satisfying a high-term recurrence relation, we provide the relationship between the Weyl function associated to the corresponding block Jacobi matrix and the Stieltjes matrix function. Next, from an arbitrary (and not necessarily symmetric) sequence of type II multiple orthogonal polynomials with respect to a set of d linear functionals, we obtain a total of d+1 sequences of type II multiple orthogonal polynomials, which can be used to construct a new sequence of symmetric type II multiple orthogonal polynomials. Finally, we prove a Favard-type result for certain sequences of matrix multiple orthogonal polynomials satisfying a matrix four-term recurrence relation with matrix coefficients.
Date:  2013-12-06
Start Time:   14:30
Speaker:  Edmundo Huertas Cejudo (CMUC, Univ. Coimbra)
Institution:  CMUC, Univ. Coimbra
Place:  Sala 5.5
Research Groups: -Analysis
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