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On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
Citation
Barrios Rolania, Maria Dolores and Branquinho, Amilcar and Foulquié Moreno, Ana (2011). On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials. "Journal of Mathematical Analysis and Applications", v. 377 (n. 1); pp. 228-238. ISSN 0022-247X. https://doi.org/10.1016/j.jmaa.2010.10.044.
Description
| Title: | On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials |
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| Author/s: |
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| Item Type: | Article |
| Event Title: | OPSFA10 Orthogonal Polynomials, Special Functions and Applications |
| Event Dates: | 20/07/2009-25/07/2009 |
| Event Location: | Leuven, Bélgica |
| Title of Book: | Journal of Computational and Applied Mathematics |
| Título de Revista/Publicación: | Journal of Mathematical Analysis and Applications |
| Date: | May 2011 |
| ISSN: | 0022-247X |
| Volume: | 377 |
| Subjects: | |
| Faculty: | Facultad de Informática (UPM) |
| Department: | Lenguajes y Sistemas Informáticos e Ingeniería del Software |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
The correspondence between a high-order non-symmetric difference operator with complex coefficients and t h e evolution of an operator defined by a Lax pair is established. The solution of t h e 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 t he evolutions of t he matrical moments.
More information
| Item ID: | 3727 |
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| DC Identifier: | https://oa.upm.es/3727/ |
| OAI Identifier: | oai:oa.upm.es:3727 |
| DOI: | 10.1016/j.jmaa.2010.10.044 |
| Official URL: | http://www.sciencedirect.com/science/article/pii/S0022247X10008814 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 22 Jan 2015 14:25 |
| Last Modified: | 27 Apr 2016 10:57 |
