PLPedro Lopez-Rodriguez
Pedro Lopez-Rodriguez
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Pedro Lopez-Rodriguez has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Antonio J. Duran
Departamento de Análisis Matemático and IMUS, Universidad de Sevilla, Sevilla, Spain
3 shared publications Antonio J. Duran
2 shared publications- Antonio J. Duran
Departamento de Análisis Matemático, Universidad de Sevilla, Apdo P.O. Box 1160, 41080 Sevilla, Spain
1 shared publication - Edward B. Saff
University of South Florida
1 shared publication
Latest Publications
- 23 June 2006
- Published by Springer Nature in Constructive Approximation
- Vol. 26 (1) , 29-47
Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, II
- 23 June 2006
- Published by Springer Nature in Constructive Approximation
- Vol. 26 (1) , 29-47
Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, II
- 1 December 2001
- Published by Mathematical Sciences Publishers in MATHEMATICA SCANDINAVICA
- Vol. 89 (2) , 245-267
The Nevanlinna parametrization for a matrix moment problem
We obtain the Nevanlinna parametrization for an indeterminate matrix moment problem, giving a homeomorphism between the set $V$ of solutions to the matrix moment problem and the set $\mathcal V$ of analytic matrix functions in the upper half plane such that $V(\lambda )^*V(\lambda )\le I$. We characterize the N-extremal matrices of measures (those for which the space of matrix polynomials is dense in their $L^2$-space) as those whose corresponding matrix function $V(\lambda )$ is a constant unitary matrix.- 1 December 2001
- Published by Mathematical Sciences Publishers in MATHEMATICA SCANDINAVICA
- Vol. 89 (2) , 245-267
The Nevanlinna parametrization for a matrix moment problem
We obtain the Nevanlinna parametrization for an indeterminate matrix moment problem, giving a homeomorphism between the set $V$ of solutions to the matrix moment problem and the set $\mathcal V$ of analytic matrix functions in the upper half plane such that $V(\lambda )^*V(\lambda )\le I$. We characterize the N-extremal matrices of measures (those for which the space of matrix polynomials is dense in their $L^2$-space) as those whose corresponding matrix function $V(\lambda )$ is a constant unitary matrix.- 1 July 2000
- Published by Elsevier in Journal of Functional Analysis
- Vol. 174 (2) , 301-321
N-Extremal Matrices of Measures for an Indeterminate Matrix Moment Problem
- 1 July 2000
- Published by Elsevier in Journal of Functional Analysis
- Vol. 174 (2) , 301-321
N-Extremal Matrices of Measures for an Indeterminate Matrix Moment Problem
- 1 December 1999
- Published by Springer Nature in Journal d'Analyse Mathématique
- Vol. 78 (1) , 37-60
Zero asymptotic behaviour for orthogonal matrix polynomials
- 1 December 1999
- Published by Springer Nature in Journal d'Analyse Mathématique
- Vol. 78 (1) , 37-60
Zero asymptotic behaviour for orthogonal matrix polynomials
- Open Access
- 9 January 1999
- Published by Springer Nature in Constructive Approximation
- Vol. 15 (1) , 135-151
Riesz's Theorem for Orthogonal Matrix Polynomials
- 9 January 1999
- Published by Springer Nature in Constructive Approximation
- Vol. 15 (1) , 135-151
Open AccessRiesz's Theorem for Orthogonal Matrix Polynomials
- 31 August 1997
- Published by Elsevier in Journal of Approximation Theory
- Vol. 90 (2) , 299-318
TheL pSpace of a Positive Definite Matrix of Measures and Density of Matrix Polynomials inL1- 31 August 1997
- Published by Elsevier in Journal of Approximation Theory
- Vol. 90 (2) , 299-318
TheL pSpace of a Positive Definite Matrix of Measures and Density of Matrix Polynomials inL1- 1 August 1997
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 49 (4) , 708-721
Density Questions for the Truncated Matrix Moment Problem
For a truncated matrix moment problem, we describe in detail the set of positive definite matrices of measures μ in V2n (this is the set of solutions of the problem of degree 2n) for which the polynomials up to degree n are dense in the corresponding space L2(μ). These matrices of measures are exactly the extremal measures of the set Vn.
- 1 August 1997
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 49 (4) , 708-721
Density Questions for the Truncated Matrix Moment Problem
For a truncated matrix moment problem, we describe in detail the set of positive definite matrices of measures μ in V2n (this is the set of solutions of the problem of degree 2n) for which the polynomials up to degree n are dense in the corresponding space L2(μ). These matrices of measures are exactly the extremal measures of the set Vn.
- 1 January 1996
- Published by Elsevier in Journal of Approximation Theory
- Vol. 84 (1) , 96-118
Orthogonal Matrix Polynomials: Zeros and Blumenthal's Theorem
- 1 January 1996
- Published by Elsevier in Journal of Approximation Theory
- Vol. 84 (1) , 96-118
Orthogonal Matrix Polynomials: Zeros and Blumenthal's Theorem