On matrix integration of matrix polynomials

DOI10.1016/S0377-0427(00)00684-1zbMath0991.42017MaRDI QIDQ5946631

Franciszek Hugon Szafraniec

Publication date: 25 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialspositive definitenessquadrature formulaHamburger moment problemmatrix polynomialreproducing kernel Hilbert space

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Positive definite functions in one variable harmonic analysis (42A82) Moment problems (44A60) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• Riesz's theorem for orthogonal matrix polynomials
• Polynomial interpolation and Gaussian quadrature for matrix-valued functions
• Boundedness of the shift operator related to positive definite forms: An application to moment problems
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• Orthogonal matrix polynomials and applications
• Markov's Theorem for Orthogonal Matrix Polynomials
• THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR
• Operator Moment Problems
• On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
• Theory of Reproducing Kernels
• A moment problem for self-adjoint operators

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