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Convex functions whose epigraphs are semi-closed: Duality theory
Duality semi-closed conjugate function
2010/9/15
A classical duality formula in general Banach spaces, usually established for a convex proper lower semicontinuous perturbation under one of the familiar Rockafellar, Robinson, Attouch-Br´ezis c...
In this paper we consider the risk process that is described by a piecewise deterministic Markov processes (PDMP). We first present the construction of the risk process and then discuss some ruin prob...
An inclusion of observable nets satisfying duality induces an inclusion of canonical field nets. Any Bose net intermediate between the observable net and the field net and satisfying duality is the f...