Ladder relations for a class of matrix valued orthogonal polynomials
| العنوان: | Ladder relations for a class of matrix valued orthogonal polynomials |
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| المؤلفون: | Alfredo Deaño, Bruno Eijsvoogel, Pablo Román |
| المصدر: | e-Archivo: Repositorio Institucional de la Universidad Carlos III de Madrid Universidad Carlos III de Madrid (UC3M) Studies in Applied Mathematics, 146, 2, pp. 463-497 Studies in Applied Mathematics, 146, 463-497 e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid instname CONICET Digital (CONICET) Consejo Nacional de Investigaciones Científicas y Técnicas instacron:CONICET |
| بيانات النشر: | Wiley Periodicals LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Pure mathematics, Class (set theory), Integrable system, Orthogonal polynomials, Matemáticas, X SU(2), MODELS, Mathematics, Applied, 01 natural sciences, 010305 fluids & plasmas, purl.org/becyt/ford/1 [https], Matrix (mathematics), QA372, ANALOG, 0103 physical sciences, QA351, Classical Analysis and ODEs (math.CA), FOS: Mathematics, RODRIGUES FORMULAS, 0101 mathematics, Ladder relations, Mathematics, OPERATORS, NON–ABELIAN TODA LATTICE, Science & Technology, Applied Mathematics, 010102 general mathematics, purl.org/becyt/ford/1.1 [https], Abelian Toda lattice, DIFFERENTIAL-EQUATIONS, 16. Peace & justice, non–, Mathematics - Classical Analysis and ODEs, Non-Abelian Toda lattice, Mathematical physics, Physical Sciences, Integrable systems |
| الوصف: | Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials (MVOPs) on (Formula presented.), and we derive algebraic and differential relations for these MVOPs. A particular case of importance is that of MVOPs with respect to a matrix weight of the form (Formula presented.) on the real line, where (Formula presented.) is a scalar polynomial of even degree with positive leading coefficient and (Formula presented.) is a constant matrix. Fil: Deaño, Alfredo. Universidad Carlos III de Madrid. Instituto de Salud; España. University of Kent; Reino Unido Fil: Eijsvoogel, Bruno. Katholikie Universiteit Leuven; Bélgica. Radboud Universiteit Nijmegen; Países Bajos Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina |
| وصف الملف: | application/pdf |
| تدمد: | 0022-2526 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84c5fccfffee331b586b1028fea00e09 http://hdl.handle.net/10016/32063 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....84c5fccfffee331b586b1028fea00e09 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 00222526 |
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