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 On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/8436

title: On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
authors: Barrios Rolanía, Dolores
Branquinho, Amilcar
Foulquié Moreno, Ana Pilar
keywords: Orthogonal polynomials
Operator Theory
Differential equations
Recurrence relations
issue date: 2011
publisher: Elsevier
abstract: The correspondence between a high-order non-symmetric difference operator with complex coefficients and the evolution of an operator defined by a Lax pair is established. The solution of the discrete dynamical system is studied, giving explicit expressions for the resolvent function and, under some conditions, the representation of the vector of functionals, associated with the solution for our integrable systems. The method of investigation is based on the evolutions of the matrical moments.
URI: http://hdl.handle.net/10773/8436
ISSN: 0022-247X
publisher version/DOI: http://dx.doi.org/10.1016/j.jmaa.2010.10.044
source: Journal of Mathematical Analysis and Applications
appears in collectionsCIDMA - Artigos

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