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Published in:
2007 | OriginalPaper | Chapter
The Transformation of Issai Schur and Related Topics in an Indefinite Setting
Authors : D. Alpay, A. Dijksma, H. Langer
Published in: System Theory, the Schur Algorithm and Multidimensional Analysis
Publisher: Birkhäuser Basel
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We review our recent work on the Schur transformation for scalar generalized Schur and Nevanlinna functions. The Schur transformation is defined for these classes of functions in several situations, and it is used to solve corresponding basic interpolation problems and problems of factorization of rational
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-unitary matrix functions into elementary factors. A key role is played by the theory of reproducing kernel Pontryagin spaces and linear relations in these spaces.