A general form of Green’s Formula and the Cauchy Integral Theorem-Reference-Cited by-同舟云学术

A general form of Green’s Formula and the Cauchy Integral Theorem

Published:2014-12-04 Issue:5 Volume:143 Page:2091-2102
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cufí Julià,Verdera Joan

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2015-143-05/S0002-9939-2014-12418-X/S0002-9939-2014-12418-X.pdf

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