Abstract
© 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.
Original language | English |
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Pages (from-to) | 2091-2102 |
Journal | Proceedings of the American Mathematical Society |
Volume | 143 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1 Jan 2015 |