On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices
From MaRDI portal
Publication:1920979
DOI10.1007/BF01262294zbMath0856.47014MaRDI QIDQ1920979
Publication date: 6 August 1996
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
linear fractional transformationdegenerate truncated matrix Hamburger moment problemnonnegative Hankel extensionsingular finite Hankel block-matrix
Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)
Related Items (23)
Parametrization of the Solution Set of a Matricial Truncated Hamburger Moment Problem by a Schur Type Algorithm ⋮ Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials ⋮ On a solution of the multidimensional truncated matrix-valued moment problem ⋮ The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problem ⋮ Schur analysis of matricial Hausdorff moment sequences ⋮ On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem ⋮ Finite-dimensional completion for the matrix-valued truncated complex moment problem ⋮ Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences ⋮ On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomials ⋮ A unified treatment for the matrix Stieltjes moment problem. ⋮ An operator-valued generalization of Tchakaloff's theorem ⋮ The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions. III: The infinitely many data case ⋮ A Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment Problem ⋮ Truncated Hamburger moment problem for an operator measure with compact support ⋮ A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem ⋮ The truncated Hamburger moment problems with gaps in the index set ⋮ On maximal weight solutions of two matricial moment problems in the nondegenerate case ⋮ On rank variation of block matrices generated by Nevanlinna matrix functions ⋮ Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem ⋮ Degenerate Nevanlinna-Pick problem ⋮ The truncated matrix-valued $K$-moment problem on $\mathbb {R}^d$, $\mathbb {C}^d$, and $\mathbb {T}^d$ ⋮ The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions ⋮ The truncated Hamburger matrix moment problems in the nondegenerate and degenerate cases, and matrix continued fractions
Cites Work
- On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
- Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions: Parametrization of the set of all solutions
- Interpolation of rational matrix functions
- Hamburger moment problem: Parseval equality and \(A\)-singularity
- ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices
