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# Analytic capacity , rectifiability , and the Cauchy integral

@inproceedings{Tolsa2006AnalyticC, title={Analytic capacity , rectifiability , and the Cauchy integral}, author={Xavier Tolsa}, year={2006} }

- Published 2006

A compact set E ⊂ C is said to be removable for bounded analytic functions if for any open set containing E, every bounded function analytic on \ E has an analytic extension to . Analytic capacity is a notion that, in a sense, measures the size of a set as a non removable singularity. In particular, a compact set is removable if and only if its analytic capacity vanishes. The so-called Painlevé problem consists in characterizing removable sets in geometric terms. Recently many results in… CONTINUE READING

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