Observatorio de I+D+i UPM

Descripción
We introduce in this paper a method to calculate the Hessenberg matrix of a sum of measures from the Hessenberg matrices of the component measures. Our method extends the spectral techniques used by G. Mantica to calculate the Jacobi matrix associated with a sum of measures from the Jacobi matrices of each of the measures. We apply this method to approximate the Hessenberg matrix associated with a self-similar measure and compare it with the result obtained by a former method for self-similar measures which uses a fixed point theorem for moment matrices. Results are given for a series of classical examples of self-similar measures. Finally, we also apply the method introduced in this paper to some examples of sums of (not self-similar) measures obtaining the exact value of the sections of the Hessenberg matrix.
Internacional	Si
JCR del ISI	Si
Título de la revista	Journal of Aproximation Theory
ISSN	0021-9045
Factor de impacto JCR	0,681
Información de impacto
Volumen
DOI
Número de revista
Desde la página	49
Hasta la página	64
Mes	ENERO
Ranking	Q2

Esta actividad pertenece a memorias de investigación

• Autor: M. del Carmen Escribano Iglesias (UPM)
• Autor: M. Asuncion Sastre Rosa (UPM)
• Autor: Emilio Torrano Gimenez (UPM)
• Autor: Antonio Giraldo Carbajo (UPM)

• Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal