Orthogonal polynomials and measures on the unit circle. The Geronimus transformations

L. Garza; J. Hernández; F. Marcellán

doi:10.1016/j.cam.2007.11.023

Orthogonal polynomials and measures on the unit circle. The Geronimus transformations

L. Garza, J. Hernández, F. Marcellán^*

^*Autor correspondiente de este trabajo

Producción científica › revisión exhaustiva

20 Citas (Scopus)

Resumen

In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.

Idioma original	English
Páginas (desde-hasta)	1220-1231
Número de páginas	12
Publicación	Journal of Computational and Applied Mathematics
Volumen	233
N.º	5
DOI	https://doi.org/10.1016/j.cam.2007.11.023
Estado	Published - 1 ene 2010
Publicado de forma externa	Sí

All Science Journal Classification (ASJC) codes

Matemática computacional
Matemáticas aplicadas

Acceder al documento

10.1016/j.cam.2007.11.023

Otros archivos y enlaces

Citar esto

@article{72a2ba2df97049ac963e21c9627b47ef,

title = "Orthogonal polynomials and measures on the unit circle. The Geronimus transformations",

abstract = "In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.",

author = "L. Garza and J. Hern{\'a}ndez and F. Marcell{\'a}n",

year = "2010",

month = jan,

day = "1",

doi = "10.1016/j.cam.2007.11.023",

language = "English",

volume = "233",

pages = "1220--1231",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

publisher = "Elsevier BV",

number = "5",

}

TY - JOUR

T1 - Orthogonal polynomials and measures on the unit circle. The Geronimus transformations

AU - Garza, L.

AU - Hernández, J.

AU - Marcellán, F.

PY - 2010/1/1

Y1 - 2010/1/1

N2 - In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.

AB - In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the connection between the associated Hessenberg matrices. Finally, we show an example of this kind of transformation.

UR - http://www.scopus.com/inward/record.url?scp=70350731224&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350731224&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2007.11.023

DO - 10.1016/j.cam.2007.11.023

M3 - Article

AN - SCOPUS:70350731224

SN - 0377-0427

VL - 233

SP - 1220

EP - 1231

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 5

ER -

Orthogonal polynomials and measures on the unit circle. The Geronimus transformations

Resumen

All Science Journal Classification (ASJC) codes

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto