8 citations · 44 across the 30 of their papers we have counts for
10 papers · 1 filter
The Weyl matrix balls corresponding to the matricial truncated Hamburger moment problem
Bernd Fritzsche, Bernd Kirstein, Susanne Kley +1
The main goal of the paper is to parametrize the Weyl matrix balls associated with an arbitrary matricial truncated Hamburger moment problem. For the special case of a non-degenera…
A Schur-Nevanlinna type algorithm for the truncated matricial Hausdorff moment problem
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
The main goal of this paper is to achieve a parametrization of the solution set of the truncated matricial Hausdorff moment problem in the non-degenerate and degenerate situation.…
Schur analysis of matricial Hausdorff moment sequences
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
We develop the algebraic instance of an algorithmic approach to the matricial Hausdorff moment problem on a compact interval of the real axis. Our considerations are along…
A Potapov-type approach to a truncated matricial Stieltjes-type power moment problem
B. Fritzsche, B. Kirstein, C. Mädler +1
The paper gives a parametrization of the solution set of a matricial Stieltjes-type truncated power moment problem in the non-degenerate and degenerate cases. The key role plays th…
An Application of the Schur Complement to Truncated Matricial Power Moment Problems
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
The main goal of this paper is to reconsider a phenomenon which was treated in earlier work of the authors' on several truncated matricial moment problems. Using a special kind of…
Matricial Canonical Moments and Parametrization of Matricial Hausdorff Moment Sequences
Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
In this paper we study moment sequences of matrix-valued measures on compact intervals. A complete parametrization of such sequences is obtained via a symmetric version of matricia…
Recovery of Dirac system from the rectangular Weyl matrix function
B. Fritzsche, B. Kirstein, I. Ya. Roitberg +1
Weyl theory for Dirac systems with rectangular matrix potentials is non-classical. The corresponding Weyl functions are rectangular matrix functions. Furthermore, they are non-expa…
Semiseparable integral operators and explicit solution of an inverse problem for the skew-self-adjoint Dirac-type system
B. Fritzsche, B. Kirstein, A. L. Sakhnovich
Inverse problem to recover the skew-self-adjoint Dirac-type system from the generalized Weyl matrix function is treated in the paper. Sufficient conditions under which the unique s…
On the Theory of Matrix Valued Functions Belonging to the Smirnov Class
Victor Katsnelson, Bernd Kirstein
A theory of matrix-valued functions from the matricial Smirnov class ${\goth N}_n^+({\Bbb D})$ is systematically developed. In particular, the maximum principle of V.I.Smirnov, inn…
Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions
B. Fritzsche, B. Kirstein, I. Ya. Roitberg +1
Discrete Dirac type self-adjoint system is equivalent to the block Szegö recurrence. Representation of the fundamental solution is obtained, inverse problems on the interval and se…