© 2014 American Mathematical Society. We prove a general form of Green’s Formula and the Cauchy Integral Theorem for arbitrary closed rectifiable curves in the plane. We use Vituśkin’s localization of singularities method and a decomposition of a rectifiable curve in terms of a sequence of Jordan rectifiable sub-curves due to Carmona and Cufí.
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 1 Jan 2015|