Jacobi-type block matrices corresponding to the two-dimensional moment problem: polynomials of the second kind and Weyl function

DOI10.1007/S11253-016-1241-2zbMath1490.44007OpenAlexW2553856984MaRDI QIDQ1729456

V. I. Kozak, Mykola Dudkin

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1241-2

zbMATH Keywords

Jacobi-type symmetric matricestwo-dimensional real power moment problem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)

Cites Work

• Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices
• The classical moment problem as a self-adjoint finite difference operator
• The generalized moment problem associated with correlation measures.
• Spectral problems for generalized Jacobi matrices
• Some generalizations of the classical moment problem
• Orthogonal matrix Laurent polynomials
• Deficiency numbers of symmetric operators generated by block Jacobi matrices
• On the convergence of Padé approximations for generalized Nevanlinna functions
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