Please use this identifier to cite or link to this item:
https://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: | https://hdl.handle.net/10316/43942 | DOI: | 10.1080/10652469.2016.1250082 10.1080/10652469.2016.1250082 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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ITSF_Toda_Matricial.pdf | 312.77 kB | Adobe PDF | View/Open |
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