The Fundamental Theorem of Calculus for Lebesgue Integral
نویسنده
چکیده
In this paper we prove the Theorem announced in the title without using Vitali’s Covering Lemma and have as a consequence of this approach the equivalence of this theorem with that which states that absolutely continuous functions with zero derivative almost everywhere are constant. We also prove that the decomposition of a bounded variation function is unique up to a constant.
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