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A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane
Cita
Escribano Iglesias, M. del Carmen 
ORCID: https://orcid.org/0000-0003-2593-5470, Sastre Rosa, María de la Asunción, Giraldo Carbajo, Antonio and Torrano Gimenez, Emilio ORCID: https://orcid.org/0000-0003-0013-4706
(2010).
A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane.
En: "10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010", 26/06/2010 - 30/06/2010, Almeria, España.
ORCID: https://orcid.org/0000-0003-2593-5470, Sastre Rosa, María de la Asunción, Giraldo Carbajo, Antonio and Torrano Gimenez, Emilio ORCID: https://orcid.org/0000-0003-0013-4706
(2010).
A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane.
En: "10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010", 26/06/2010 - 30/06/2010, Almeria, España.
Descripción
| Título: | A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane |
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| Autor/es: |
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| Tipo de Documento: | Ponencia en Congreso o Jornada (Artículo) |
| Título del Evento: | 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010 |
| Fechas del Evento: | 26/06/2010 - 30/06/2010 |
| Lugar del Evento: | Almeria, España |
| Título del Libro: | Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010 |
| Fecha: | 2010 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Hessenberg matrix, regular measures, Riemann map |
| Escuela: | Facultad de Informática (UPM) [antigua denominación] |
| Departamento: | Matemática Aplicada |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
Rakhmanov's theorem establishes a result about the asymptotic behavior of the elements of the Jacobi matrix associated with a measure ¹ which is de¯ned on the interval I = [¡1; 1] with ¹ 0 > 0 almost everywhere on I. In this work we give a weak version of this theorem, for a measure with support on a connected ¯nite union of Jordan arcs on the complex plane, in terms of the Hessenberg matrix, the natural generalization of the tridiagonal Jacobi matrix to the complex plane.
Más información
| ID de Registro: | 9267 |
|---|---|
| Identificador DC: | https://oa.upm.es/9267/ |
| Identificador OAI: | oai:oa.upm.es:9267 |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 13 Oct 2011 10:58 |
| Ultima Modificación: | 20 Abr 2016 17:45 |
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