Rademacher's theorem
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In mathematical analysis, Rademacher's theorem states the following: If A is an open subset of Rn and f : A → Rm is Lipschitz, then f is differentiable almost everywhere in A.
[edit] References
- Juha Heinonen, Lectures on Lipschitz Analysis, Lectures at the 14th Jyväskylä Summer School in August 2004. (Rademacher's theorem with a proof is on page 18 and further.)