4 papers · 1 filter
Characteristic function of M. S. Livšic and triangular models of bounded linear operators
Vladimir K. Dubovoy, Bernd Kirstein, Conrad Mädler +1
This paper is dedicated to the introduction in a circle of ideas and methods, which are connected with the notion of characteristic function of a non-selfadjoint operator. We start…
Characteristic Function, Schur Parameters and Pseudocontinuation of Schur functions
Vladimir K. Dubovoy, Bernd Fritzsche, Bernd Kirstein +2
In [19] there is an approach to the investigation of the pseudocontinuability of Schur functions in terms of Schur parameters. In particular, there was obtained a criterion for the…
Characteristic Function, Schur Interpolation Problem and Darlington Synthesis
Sergey S. Boiko, Vladimir K. Dubovoy, Bernd Fritzsche +3
In this paper we would like to show the interrelation between the different mathematical theories concerning the Schur interpolation problem, contractions in Hilbert spaces, pseudo…
On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via -Stieltjes transformed sequences
Abdon Eddy Choque-Rivero, Conrad Mädler
By using Schur transformed sequences and Dyukarev-Stieltjes parameters we obtain a new representation of the resolvent matrix corresponding to the truncated matricial Stieltjes mom…