Orthogonal Rational Functions on the Unit Circle: from the Scalar to the Matrix Case

Adhemar Bultheel, Erik Hendriksen, Pablo González-Vera, Olav Njåstad

Type: Book-Chapter

Publication Date: 2006-01-01

Citations: 9

DOI: https://doi.org/10.1007/978-3-540-36716-1_4

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Action	Title	Year	Authors
+	Multipoint Schur algorithm and orthogonal rational functions: convergence properties, I	2008	Laurent Baratchart S. Kupin Vincent Lunot M. Olivi
+	Schur–Nevanlinna–Potapov sequences of rational matrix functions	2009	Adhemar Bultheel Andreas Lasarow
+	Solution of a multiple Nevanlinna–Pick problem for Carathéodory functions via orthogonal rational functions in the matrix case	2007	Andreas Lasarow
+	Multipoint Schur algorithm and orthogonal rational functions, I: Convergence properties	2011	Laurent Baratchart S. Kupin Vincent Lunot M. Olivi
+	Numerical quadrature and orthogonal rational functions	2012	Adhemar Bultheel
+	Multipoint Schur's algorithm, rational orthogonal functions, asymptotic properties and Schur rational approximation	2008	Vincent Lunot Laurent Baratchart Stanislas Kupin Martine Olivi
+	Multipoint Schur algorithm, II: generalized moment problems, Gaussian processes and prediction	2010	Laurent Baratchart Leonid Golinskiĭ S. Kupin

Works Cited by This (21)

Action	Title	Year	Authors
+	Matricial version of the classical Schur problem	1992	Vladimir K. Dubovoj Bernd Kirstein Bernd Fritzsche
+	Hardy classes and operator theory	1985	Marvin Rosenblum James Rovnyak
+	Introduction to Hp Spaces	1999	Paul Koosis
+ PDF Chat	Orthogonal Rational Functions	1999	Adhemar Bultheel Pablo González-Vera Erik Hendriksen Olav Njåstad
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin
+	Banach Algebra Techniques in Operator Theory	1998	Ronald G. Douglas
+ PDF Chat	Interpolation and functions analytic interior to the unit circle	1932	J. L. Walsh
+	On a moment problem for rational matrix-valued functions	2003	Bernd Fritzsche Bernd Kirstein Andreas Lasarow
+	On rank invariance of moment matrices of nonnegative Hermitian‐valued Borel measures on the unit circle	2003	Bernd Fritzsche Bernd Kirstein Andreas Lasarow
+	Solution of a multiple Nevanlinna–Pick problem via orthogonal rational functions	2004	Heinz Langer Andreas Lasarow