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

Julià Cufí; Joan Verdera

doi:10.1090/S0002-9939-2014-12418-X

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

Julià Cufí, Joan Verdera

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

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
Pages (from-to)	2091-2102
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-2014-12418-X
Publication status	Published - 1 Jan 2015

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AB - © 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.

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DO - 10.1090/S0002-9939-2014-12418-X

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