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Differential forms and the change of variable formula for multiple integrals

Journal of Mathematical Analysis and Applications (2002) 268(1) 378-383
DOI: 10.1006/jmaa.2001.7795
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Abstract

Recently P. Lax has produced a novel approach to the proof of the change of variable formula for multiple integrals. In Section 1 we give a variant of Lax's proof, using the language of differential forms. In Sections 2 and 3 we discuss extensions involving more singular maps and integrands. © 2002 Elsevier Science (USA).

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APA

Taylor, M. (2002). Differential forms and the change of variable formula for multiple integrals. Journal of Mathematical Analysis and Applications, 268(1), 378–383. https://doi.org/10.1006/jmaa.2001.7795

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