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arxiv: 1403.5770 · v1 · pith:RRVK54JFnew · submitted 2014-03-23 · 🧮 math.FA

BV functions on convex domains in Wiener spaces

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keywords convexfunctionsvariationwienerabstractbehaviorboundeddefined
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We study functions of bounded variation defined in an abstract Wiener space X, relating the variation of a function u on a convex open set O in X to the behavior near t=0 of T(t)u, T(t) being the Ornstein--Uhlenbeck semigroup in O.

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