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On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
Riemannian manifolds Finsler manifolds Banach spaces
2010/12/31
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...
We consider in-network computation of an arbitrary function over an arbitrary communication network. A network with capacity constraints on the links is given. Some nodes in the network generate data,...