Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature

Azagra Rueda, DanielFerrera Cuesta, Juan2023-06-202023-06-2020061988-2807https://hdl.handle.net/20.500.14352/49771We show how an operation of inf-convolution can be used to approximate convex functions with $C^1$ smooth convex functions on Riemannian manifolds with nonpositive curvature (in a manner that not only is explicit but also preserves some other properties of the original functions, such as ordering, symmetries, infima and sets of minimizers), and we give some applicationsengInf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvaturejournal articlehttp://www.mat.ucm.es/serv/revmat/http://www.springerlink.de/content/121597/open access517.98Inf-convolutionConvex functionRegularizationRiemannian manifoldAnálisis funcional y teoría de operadores