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Uniform approximation of continuous functions by smooth functions with no critical points on Hilbert manifolds [Presentation]
We prove that every continuous function on a separable infinitedimensional Hilbert space X can be uniformly approximated by C∞ smooth functions with no critical points. This kind of result can be regarded as a sort of ...
Proximal point algorithms on Hadamard manifolds: linear convergence and finite termination [Article]
(Society for Industrial and Applied Mathematics, 2016)
In the present paper, we consider inexact proximal point algorithms for finding singular points of multivalued vector fields on Hadamard manifolds. The rate of convergence is shown to be linear under the mild assumption ...
Fourier uniqueness sets and the Klein-Gordon equation [Presentation]
Building on ideas from H. Hedenmalm, H., Montes-Rodríguez, A., Heisenberg uniquenes pairs and the Klein-Gordon equation. Ann. of Math. 173 (2011), 1507-1527, we introduce (local) Fourier uniqueness sets for spaces of ...