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Results tagged with ca.classical-analysis-and-odes
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user 3484
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
14
votes
5
answers
13k
views
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 …
- 35.5k