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hal-00746554, version 1

Best approximation in Hardy spaces and by polynomials, with norm constraints

Juliette Leblond () 1, Jonathan R. Partington a2, Elodie Pozzi () 1

N° RR-8098 (2012)

Abstract: Two related approximation problems are formulated and solved in Hardy spaces of the disc and annulus. With practical applications in mind, truncated versions of these problems are analysed, where the solutions are chosen to lie in finite-dimensional spaces of polynomials or rational functions, and are expressed in terms of truncated Toeplitz operators. The results are illustrated by numerical examples.The work has applications in systems identification and in inverse problems for PDEs.

  • a –  University of Leeds
  • 1:  APICS (INRIA Sophia Antipolis)
  • 2:  School of Mathematics - University of Leeds
  • University of Leeds
  • Domain : Mathematics/Functional Analysis
    Mathematics/Complex Variables
    Mathematics/Spectral Theory
  • Internal note : RR-8098
  • hal-00746554, version 1
  • oai:hal.inria.fr:hal-00746554
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  • Submitted on: Monday, 29 October 2012 12:56:53
  • Updated on: Friday, 15 November 2013 11:35:09