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Free, publicly-accessible full text available June 1, 2025
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Azagra, Daniel; Cappello, Anthony; Hajłasz, Piotr (, Proceedings of the American Mathematical Society, Series B)We show a new, elementary and geometric proof of the classical Alexandrov theorem about the second order differentiability of convex functions. We also show new proofs of recent results about Lusin approximation of convex functions and convex bodies by convex functions and convex bodies.more » « less
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Azagra, Daniel; Hajłasz, Piotr (, The Journal of Geometric Analysis)