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Results tagged with measure-theory
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user 3484
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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votes
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answers
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The Fundamental Theorem of Calculus in Lebesgue Theory
I am interested to what extent the famous identity
$$
\int_a^b f'(x) \ dx=f(b)-f(a)
$$
is true for a function $f:[a,b]\to \mathbb C$ continuous on $[a,b]$ and differentiable on $(a,b)$. One famous eas …
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