Representation, relaxation and convexity for variational problems in   Wiener spaces
  We show convexity of solutions to a class of convex variational problems in the Gauss and in the Wiener space. An important tool in the proof is a representation formula for integral functionals in this infinite dimensional setting, that extends analogous results valid in the classical Euclidean framework. 
Antonin Chambolle (CMAP), Michael Goldman (CMAP), Matteo Novaga
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