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arXiv · 1212.4574

Negligible Variation and the Change of Variables Theorem

Vermont Rutherfoord·Yoram Sagher
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Abstract

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.

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Vermont Rutherfoord, Yoram Sagher. 2012-12-19. Negligible Variation and the Change of Variables Theorem. https://arxiv.org/abs/1212.4574

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