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.KeywordsBounded OperatorSingular Integral OperatorMultiresolution AnalysisRiesz BasisLogarithmic SpiralThese 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.
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