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Wavelets on Chord-Arc Curves

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Wavelets

Part of the book series: Inverse Problems and Theoretical Imaging ((IPTI))

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Abstract

We give a new proof of a theorem of G. David which says that the Cauchy integral on a chord-arc curve Γ is a bounded operator on L2 (ℝ). The main tool we use is the multiresolution analysis to get wavelets adapted to Γ.

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References

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Author information

Authors and Affiliations

  1. UER de Math-info, Université de Bordeaux I, 351, Course de la Libération, F-33405, Talence Cedex, France

    P. Auscher

Authors
  1. P. Auscher
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Editor information

Editors and Affiliations

  1. Centre National de la Recherche Scientifique, Luminy - Case 907, F-13288, Marseille Cedex 9, France

    Jean-Michel Combes , Alexander Grossmann  & Philippe Tchamitchian ,  & 

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© 1989 Springer-Verlag Berlin Heidelberg

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Auscher, P. (1989). Wavelets on Chord-Arc Curves. In: Combes, JM., Grossmann, A., Tchamitchian, P. (eds) Wavelets. Inverse Problems and Theoretical Imaging. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97177-8_24

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  • DOI: https://doi.org/10.1007/978-3-642-97177-8_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-97179-2

  • Online ISBN: 978-3-642-97177-8

  • eBook Packages: Springer Book Archive

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