Article
Riesz's theorem for orthogonal matrix polynomials
Author/s | López Rodríguez, Pedro |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1999-01 |
Deposit Date | 2016-06-03 |
Published in |
|
Abstract | We describe the image through the Stieltjes transform of the set of solutions
V of a matrix moment problem. We extend Riesz's theorem to the matrix setting, proving that those matrices of measures of V for which the matrix ... We describe the image through the Stieltjes transform of the set of solutions V of a matrix moment problem. We extend Riesz's theorem to the matrix setting, proving that those matrices of measures of V for which the matrix polynomials are dense in the corresponding L2 space are precisely those whose Stieltjes transform is an extremal point (in the sense of convexity) of the image set. |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España |
Project ID. | PB-96-1321-CO2 |
Citation | López Rodríguez, P. (1999). Riesz's theorem for orthogonal matrix polynomials. Constructive Approximation, 15 (1), 135-151. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Riesz's theorem for orthogonal ... | 258.1Kb | [PDF] | View/ | |