Dubovoy, Vladimir K.; Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas Shift operators contained in contractions, pseudocontinuable Schur functions and orthogonal systems on the unit circle. (English) Zbl 1246.30069 Complex Anal. Oper. Theory 5, No. 2, 579-610 (2011). Reviewer: Leonid Golinskii (Kharkov) MSC: 30E05 47A57 PDFBibTeX XMLCite \textit{V. K. Dubovoy} et al., Complex Anal. Oper. Theory 5, No. 2, 579--610 (2011; Zbl 1246.30069) Full Text: DOI arXiv
Lasarow, Andreas More on a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. (English) Zbl 1234.30031 J. Approx. Theory 163, No. 7, 864-887 (2011). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 30E05 44A60 47A56 47A57 42C05 PDFBibTeX XMLCite \textit{A. Lasarow}, J. Approx. Theory 163, No. 7, 864--887 (2011; Zbl 1234.30031) Full Text: DOI Link
Lasarow, Andreas On maximal weight solutions in a truncated trigonometric matrix moment problem. (English) Zbl 1217.30035 Funct. Approximatio, Comment. Math. 43, No. 2, 117-128 (2010). Reviewer: Gabriel Larotonda (Buenos Aires) MSC: 30E05 47A57 47A56 PDFBibTeX XMLCite \textit{A. Lasarow}, Funct. Approximatio, Comment. Math. 43, No. 2, 117--128 (2010; Zbl 1217.30035) Full Text: DOI Euclid
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. II. (English) Zbl 1203.47006 J. Comput. Appl. Math. 235, No. 4, 1008-1041 (2010). MSC: 47A56 47A57 30E05 42C05 44A60 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., J. Comput. Appl. Math. 235, No. 4, 1008--1041 (2010; Zbl 1203.47006) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas On the Weyl matrix balls corresponding to the matricial Carathéodory problem in both nondegenerate and degenerate cases. (English) Zbl 1210.44004 Bini, Dario Andrea (ed.) et al., Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Basel: Birkhäuser (ISBN 978-3-7643-8995-6/hbk). Operator Theory: Advances and Applications 199, 289-332 (2010). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 44A60 47A57 30E05 47A56 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Oper. Theory: Adv. Appl. 199, 289--332 (2010; Zbl 1210.44004)
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas The matricial Schur problem in both nondegenerate and degenerate cases. (English) Zbl 1171.47013 Math. Nachr. 282, No. 2, 180-210 (2009). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A57 30E05 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Math. Nachr. 282, No. 2, 180--210 (2009; Zbl 1171.47013) Full Text: DOI
Lasarow, Andreas Some applications of the Szegő theory of orthogonal rational matrix functions to extremal and interpolation functions in the matrix Carathéodory class. (Einige Anwendungen der Szegő-Theorie orthogonaler rationaler Matrixfunktionen auf Extremal- und Interpolationsprobleme in der matriziellen Carathéodory-Klasse.) (German) Zbl 1155.30358 Leipzig: Univ. Leipzig, Fakultät für Mathematik und Informatik (Habil.-Schr.). xxii, 314 p. (2008). MSC: 30E05 47A56 47A57 PDFBibTeX XMLCite \textit{A. Lasarow}, Einige Anwendungen der Szegő-Theorie orthogonaler rationaler Matrixfunktionen auf Extremal- und Interpolationsprobleme in der matriziellen Carathéodory-Klasse. Leipzig: Univ. Leipzig, Fakultät für Mathematik und Informatik (Habil.-Schr.) (2008; Zbl 1155.30358)
Dubovoj, Vladimir Kirillovich; Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas On the Weyl matrix balls associated with the matricial Schur problem in the nondegenerate and degenerate cases. (English) Zbl 1156.47017 Complex Anal. Oper. Theory 2, No. 1, 29-54 (2008). MSC: 47A57 30E05 47A56 PDFBibTeX XMLCite \textit{V. K. Dubovoj} et al., Complex Anal. Oper. Theory 2, No. 1, 29--54 (2008; Zbl 1156.47017) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas The matricial Carathéodory problem in both nondegenerate and degenerate cases. (English) Zbl 1117.44002 Alpay, Daniel (ed.) et al., Interpolation, Schur functions and moment problems. Basel: Birkhäuser (ISBN 3-7643-7546-9/hbk). Operator Theory: Advances and Applications 165, 251-290 (2006). MSC: 44A60 47A57 30E05 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Oper. Theory: Adv. Appl. 165, 251--290 (2006; Zbl 1117.44002)
Klotz, Lutz; Lasarow, Andreas An operator-theoretic approach to a multiple point Nevanlinna-Pick problem from generalized Carathéodory functions. (English) Zbl 1136.47011 Förster, Karl-Heinz (ed.) et al., Operator theory in Krein spaces and nonlinear eigenvalue problems. Selected papers of the 3rd workshop, TU Berlin, Germany, December 12–14, 2003. Basel: Birkhäuser (ISBN 3-7643-7452-7/hbk). Operator Theory: Advances and Applications 162, 211-229 (2006). Reviewer: Edward L. Pekarev (Odessa) MSC: 47A57 47B50 30E05 46C20 PDFBibTeX XMLCite \textit{L. Klotz} and \textit{A. Lasarow}, Oper. Theory: Adv. Appl. 162, 211--229 (2006; Zbl 1136.47011)
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas Orthogonal rational matrix-valued functions on the unit circle: Recurrence relations and a Favard-type theorem. (English) Zbl 1093.30032 Math. Nachr. 279, No. 5-6, 513-542 (2006). Reviewer: Adhemar Bultheel (Leuven) MSC: 30E05 42C05 47A57 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Math. Nachr. 279, No. 5--6, 513--542 (2006; Zbl 1093.30032) Full Text: DOI
Lasarow, Andreas On rank invariance of generalized Schwarz–Pick–Potapov block matrices of matrix-valued Carathéodory functions. (English) Zbl 1082.47011 Linear Algebra Appl. 413, No. 1, 36-58 (2006). MSC: 47A57 15B57 30E05 PDFBibTeX XMLCite \textit{A. Lasarow}, Linear Algebra Appl. 413, No. 1, 36--58 (2006; Zbl 1082.47011) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas On Hilbert modules of rational matrix-valued functions and related inverse problems. (English) Zbl 1108.47018 J. Comput. Appl. Math. 179, No. 1-2, 215-248 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 47A57 47A56 30E05 47B32 42C05 44A60 46E22 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., J. Comput. Appl. Math. 179, No. 1--2, 215--248 (2005; Zbl 1108.47018) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas On rank invariance of Schwarz-Pick-Potapov block matrices of matricial Schur functions. (English) Zbl 1062.30040 Integral Equations Oper. Theory 48, No. 3, 305-330 (2004). Reviewer: Vladimir A. Derkach (Donetsk) MSC: 30E05 47A57 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Integral Equations Oper. Theory 48, No. 3, 305--330 (2004; Zbl 1062.30040) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas On rank invariance of moment matrices of nonnegative Hermitian-valued Borel measures on the unit circle. (English) Zbl 1046.42016 Math. Nachr. 263-264, 103-132 (2004). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 47A56 47A57 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Math. Nachr. 263--264, 103--132 (2004; Zbl 1046.42016) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas On a moment problem for rational matrix-valued functions. (English) Zbl 1046.47016 Linear Algebra Appl. 372, 1-31 (2003). Reviewer: Zenon J. Jabłoński (Kraków) MSC: 47A57 44A60 15B57 PDFBibTeX XMLCite \textit{B. Fritzsche} et al., Linear Algebra Appl. 372, 1--31 (2003; Zbl 1046.47016) Full Text: DOI