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2000/2001 The Stokes Theorem for the Generalized Riemann Integral
W. F. Pfeffer
Real Anal. Exchange 26(2): 623-636 (2000/2001).


In $\mathbb{R}^m$, we define the generalized Riemann integral over normal $m$-dimensional currents with compact support and bounded multiplicities, and prove the Stokes theorem for continuous $(m-1)$-forms that are pointwise Lipschitz outside sets of $\sigma$-finite $(m-1)$-dimensional Hausdorff measure. In addition, we show that the usual transformation formula holds for local lipeomorphisms, which need not be injective


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W. F. Pfeffer. "The Stokes Theorem for the Generalized Riemann Integral." Real Anal. Exchange 26 (2) 623 - 636, 2000/2001.


Published: 2000/2001
First available in Project Euclid: 27 June 2008

zbMATH: 1023.26010
MathSciNet: MR1844141

Primary: 28A75 , 49Q15
Secondary: 26B15

Keywords: BV sets , functions , local lipeomorphisms , top-dimensional normal currents

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 2 • 2000/2001
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