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

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2006
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Universidad Complutense de Madrid
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We 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 applications
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Análisis funcional y teoría de operadores
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https://hdl.handle.net/20.500.14352/49771
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