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The faber operator

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1105)

Abstract

The boundedness of the Faber operator T and its inverse T−1, considered as mappings between various spaces of functions, is discussed. The relevance of this to problems of approximation, by polynomials or by rational functions, to functions defined on certain compact subsets of ¢ is explained.

Keywords

  • Rational Approximation
  • Besov Space
  • Jordan Curve
  • Supremum Norm
  • Hankel Operator

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

The author thanks the Department of Mathematics of the University of California at San Diego for its kind hospitality while this report was being written.

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© 1984 Springer-Verlag

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Anderson, J.M. (1984). The faber operator. In: Graves-Morris, P.R., Saff, E.B., Varga, R.S. (eds) Rational Approximation and Interpolation. Lecture Notes in Mathematics, vol 1105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072396

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  • DOI: https://doi.org/10.1007/BFb0072396

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13899-0

  • Online ISBN: 978-3-540-39113-5

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