Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43942
Title: Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials
Authors: Branquinho, Amílcar 
Foulquié Moreno, Ana 
Mendes, Ana 
Issue Date: 2016
Publisher: Taylor & Francis
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Serial title, monograph or event: Integral Transforms and Special Functions
Volume: 28
Issue: 1
Abstract: n this work we characterize a high-order Toda lattice 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, generalized Markov function, and we also obtain, under some conditions, a representation of the vector of linear functionals associated with this system. We show that the orthogonality is embedded in these structure and governs the high-order Toda lattice. We also present a Lax-type theorem for the point spectrum of the Jacobi operator associated with a Toda-type lattice.
URI: http://hdl.handle.net/10316/43942
Other Identifiers: 10.1080/10652469.2016.1250082
DOI: 10.1080/10652469.2016.1250082
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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