A Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment Problem
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Publication:3296697
DOI10.1007/978-3-030-40120-7_6zbMath1446.30054arXiv1712.08358OpenAlexW2778597445MaRDI QIDQ3296697
Conrad Mädler, Tatsiana Makarevich, Bernd Fritzsche, Bernd Kirstein
Publication date: 1 July 2020
Published in: Advancements in Complex Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08358
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Moment problems and interpolation problems in the complex plane (30E05)
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Cites Work
- On a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem II: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of holomorphic matrix-valued functions
- On truncated matricial Stieltjes type moment problems
- On Hankel nonnegative definite sequences, the canonical Hankel parametrization, and orthogonal matrix polynomials
- On a general moment problem on the half axis
- On distinguished solutions of truncated matricial Hamburger moment problems
- Indeterminacy criteria for the Stieltjes matrix moment problem
- The classical moment problem as a self-adjoint finite difference operator
- 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
- A unified treatment for the matrix Stieltjes moment problem.
- On the truncated matricial Stieltjes moment problem \(\mathsf{M} [[\alpha, \infty);(s_j)_{j = 0}^m, \leq\)]
- Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials
- On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices
- On an operator approach to interpolation problems for Stieltjes functions
- An application of the Schur complement to truncated matricial power moment problems
- The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
- On Transformation of Potapov's Fundamental Matrix Inequality
- On a Special Parametrization of Matricial α-Stieltjes One-sided Non-negative Definite Sequences
- On Matrix-valued Stieltjes Functions with an Emphasis on Particular Subclasses
- A unified treatment for the matrix Stieltjes moment problem in both nondegenerate and degenerate cases
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