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math.CA2003
Change of Variable for Multi-dimensional Integral
Isidore Fleischer
The change of variable theorem is proved under the sole hypothesis of differentiability of the transformation. Specifically, it is shown under this hypothesis that the transformed…
math.CA2002
Green's theorem with no differentiability
I. Fleischer
The result is established for a Jordan measurable region with rectifiable boundary. The integrand F for the new plane integral to be used is a function of axis-parallel rectangles,…