Density questions for the truncated matrix moment problem

Canadian Journal of Mathematics

Volumn 49, Issue 4, 1997, Pages 708-721

  Duran, Antonio J ^a   Lopez Rodriguez, Pedro ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031536466     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1997-034-5     Document Type: Article

References (9)

1. N. I. Akhiezer, The classical moment problem and some related questions in analysis, English Translation, Oliver and Boyd, Edinburgh, 1965.
2. A. I. Aptekarev and E. M. Nikishin, The scattering problem for a discrete Sturm-Liouville operator, Math. USSR-Sb. 49(1984), 325-355.
3. A. J. Durán, On orthogonal polynomials with respect to a positive definite matrix of measures, Canad. J. Math. 47(1995), 88-112.
4. _, Markov's Theorem for orthogonal matrix polynomials, Canad. J. Math. 48(1996), 1180-1195.
5. A. J. Durán and P. López-Rodríguez, Orthogonal matrix polynomials: zeros and Blumenthal's Theorem, J. Approx. Theory 84(1996), 96-118.
6. 1, J. Approx. Theory, to appear.
7. A. N. Kochubei, The extreme points of the set of solutions of the truncated matrix moment problem, Dopovīdī Akad. Nauk Ukraïn. RSR Ser. A. (1972), 418-421.
8. M. Rosenberg, The square-integrability of matrix-valued functions with respect to a non-negative hermitian measure, Duke Math. J. 31(1964), 291-298.
9. D. Zhani, Problème des moments matriciels sur la droite: construction d'une famille de solutions et questions d'unicité, Publ. Dept. Math., Université Claude-Bernard-Lyon I Nouvelle serie 21(1984), 1-84.