Artículo
Riesz's theorem for orthogonal matrix polynomials
Autor/es | López Rodríguez, Pedro |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1999-01 |
Fecha de depósito | 2016-06-03 |
Publicado en |
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Resumen | 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. |
Agencias financiadoras | Dirección General de Investigación Científica y Técnica (DGICYT). España |
Identificador del proyecto | PB-96-1321-CO2 |
Cita | López Rodríguez, P. (1999). Riesz's theorem for orthogonal matrix polynomials. Constructive Approximation, 15 (1), 135-151. |
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