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arXiv · 1305.2644

Matrix Orthogonal Polynomial in the theory of Full Kostant-Toda Systems

Amílcar Branquinho·Ana Foulquié Moreno·Ana Mendes
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Abstract

In this work we characterize a full Kostant-Toda system in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure. In order to study the solution of this dynamical system we give explicit expressions for the Weyl function and we also obtain, under some conditions, a representation of the vector of linear functionals associated with this system.

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Amílcar Branquinho, Ana Foulquié Moreno, Ana Mendes. 2013-05-12. Matrix Orthogonal Polynomial in the theory of Full Kostant-Toda Systems. https://arxiv.org/abs/1305.2644

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