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

2 Citations (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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title = "A general form of Green{\textquoteright}s Formula and the Cauchy Integral Theorem",

abstract = "{\textcopyright} 2014 American Mathematical Society. We prove a general form of Green{\textquoteright}s Formula and the Cauchy Integral Theorem for arbitrary closed rectifiable curves in the plane. We use Vitu{\'s}kin{\textquoteright}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 Cuf{\'i}.",

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AU - Verdera, Joan

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N2 - © 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.

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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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

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

Abstract

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