A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane

Escribano Iglesias, M. del Carmen and Sastre Rosa, María de la Asunción and Giraldo Carbajo, Antonio and Torrano Gimenez, Emilio (2010). A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane. In: "10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010", 26/06/2010 - 30/06/2010, Almeria, España.

Description

Title: A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane
Author/s:
  • Escribano Iglesias, M. del Carmen
  • Sastre Rosa, María de la Asunción
  • Giraldo Carbajo, Antonio
  • Torrano Gimenez, Emilio
Item Type: Presentation at Congress or Conference (Article)
Event Title: 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010
Event Dates: 26/06/2010 - 30/06/2010
Event Location: Almeria, España
Title of Book: Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010
Date: 2010
Subjects:
Freetext Keywords: Hessenberg matrix, regular measures, Riemann map
Faculty: Facultad de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 9267
DC Identifier: http://oa.upm.es/9267/
OAI Identifier: oai:oa.upm.es:9267
Deposited by: Memoria Investigacion
Deposited on: 13 Oct 2011 10:58
Last Modified: 20 Apr 2016 17:45
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