Negligible variation and the change of variables theorem
Vermont RutherfoordY. Sagher
26A3626A3926A4626A30change of variablesnegligible variationabsolute continuityHK integralgauge integral
In this note we prove a necessary and sufficient condition for the change of variables formula for the HK integral, with implications for the change of variables formula for the Lebesgue integral. As a corollary, we obtain a necessary and sufficient condition for the Fundamental Theorem of Calculus to hold for the HK integral.
Indiana University Mathematics Journal
2012
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10.1512/iumj.2012.61.4532
10.1512/iumj.2012.61.4532
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Indiana Univ. Math. J. 61 (2012) 31 - 44
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