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Some interpolation problems of Nevanlinna-Pick type. The Kreĭn-Langer method

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Contributions to Operator Theory in Spaces with an Indefinite Metric

Part of the book series: Operator Theory Advances and Applications ((OT,volume 106))

Abstract

The method of M.G. Kreĭnn and H. Langer to solve interpolation problems of Nevanlinna-Pick type is explored. The classical Nevanlinna-Pick problem and a version involving derivatives are treated. The data give rise to an indefinite inner product space and a symmetric operator in it. In general, the inner product space is degenerate.

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References

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Author information

Authors and Affiliations

  1. Department of Statistics, University of Helsinki, PL 54, 00014, Helsinki, Finland

    Seppo Hassi

  2. Department of Mathematics, University of Groningen, Postbus 800, 9700 AV, Groningen, Nederland

    Henk De Snoo

  3. Institut für Analysis, Technische Mathematik und Versicherungsmathematik, Technische Universität Wien, Wiedner Hauptstrasse 8-10/114, A-1040, Wien, Österreich

    Harald Woracek

Authors
  1. Seppo Hassi
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  2. Henk De Snoo
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  3. Harald Woracek
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    Aalt Dijksma

  2. School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

  3. Department of Mathematics, Free University, De Boelelaan, 1081a, 1081 HV, Amsterdam, The Netherlands

    Marinus A. Kaashoek

  4. NWF 1, Mathematics, University of Regensburg, Universitaetsstr. 31, D-93053, Regensburg, Germany

    Reinhard Mennicken

Additional information

Dedicated to Heinz Langer on the occasion of his 60th birthday

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© 1998 Springer Basel AG

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Hassi, S., De Snoo, H., Woracek, H. (1998). Some interpolation problems of Nevanlinna-Pick type. The Kreĭn-Langer method. In: Dijksma, A., Gohberg, I., Kaashoek, M.A., Mennicken, R. (eds) Contributions to Operator Theory in Spaces with an Indefinite Metric. Operator Theory Advances and Applications, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8812-7_10

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  • DOI: https://doi.org/10.1007/978-3-0348-8812-7_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9782-2

  • Online ISBN: 978-3-0348-8812-7

  • eBook Packages: Springer Book Archive

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