The cauchy transform and menger curvature

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Abstract

© Springer International Publishing Switzerland 2014. Recall that the Cauchy transform is the 1-dimensional singular integral in ℂ associated with the kernel (formula presented) So the Cauchy transform of a Radon measure μ in C equals (formula presented) When μ is fixed, we set Cμ(f) = C(f μ)).
Original languageEnglish
Title of host publicationProgress in Mathematics
Pages75-101
Number of pages26
Volume307
ISBN (Electronic)2296-505X
DOIs
Publication statusPublished - 1 Jan 2014

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