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Spline approximation methods for Wiener- Hopf operators

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Recent Developments in Operator Theory and Its Applications

Part of the book series: Operator Theory Advances and Applications ((OT,volume 87))

Abstract

In the present paper, we introduce an algebra of approximation sequences both for singular integral operators with piecewise continuous coefficients and for Wiener-Hopf operators with piecewise continuous generating function. By means of localization techniques and of the two-projections-theorem, necessary and sufficient conditions for the stability of sequences in this algebra are derived.

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References

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Author information

Authors and Affiliations

  1. Universität Leipzig, Mathematisches Institut, Augustusplatz 10 – 11, D 04109, Leipzig, Germany

    Steffen Roch

Authors
  1. Steffen Roch
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    I. Gohberg

  2. Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1NA, Canada

    P. Lancaster

  3. Department of Applied Mathematics and Institute of Industrial Mathematical Sciences, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada

    P. N. Shivakumar

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© 1996 Birkhäuser Verlag Basel/Switzerland

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Roch, S. (1996). Spline approximation methods for Wiener- Hopf operators. In: Gohberg, I., Lancaster, P., Shivakumar, P.N. (eds) Recent Developments in Operator Theory and Its Applications. Operator Theory Advances and Applications, vol 87. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9035-9_14

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  • DOI: https://doi.org/10.1007/978-3-0348-9035-9_14

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9878-2

  • Online ISBN: 978-3-0348-9035-9

  • eBook Packages: Springer Book Archive

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