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Orthogonal expansions in indefinite inner product spaces

  • A. Mathematical Aspects Of Padé Approximants And Their Generalizations
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Padé Approximation and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 765))

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Abstract

We derive an expansion of a holomorphic function in terms of totally positive polynomials and interpret the result as an orthogonal expansion in a Krein space. As a special case, expansions in terms of Bessel polynomials are considered.

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References

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Authors and Affiliations

  1. Instituut voor Propedeutische Wiskunde, Universiteit van Amsterdam, Roetersstraat 15, Amsterdam, Netherlands

    H. van Rossum

Authors
  1. H. van Rossum
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Luc Wuytack

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© 1979 Springer-Verlag

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van Rossum, H. (1979). Orthogonal expansions in indefinite inner product spaces. In: Wuytack, L. (eds) Padé Approximation and its Applications. Lecture Notes in Mathematics, vol 765. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085580

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  • DOI: https://doi.org/10.1007/BFb0085580

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09717-4

  • Online ISBN: 978-3-540-38511-0

  • eBook Packages: Springer Book Archive

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