%0 Journal Article %T The A.P.S. signature formula for measured foliations %A Paolo Antonini %J Mathematics %D 2009 %I arXiv %X We define the Analytical signature, the Hodge signature and the de Rham signature for a foliated manifold with boundary with foliation transverse to the boundary. We show that all these signatures coincide and a Hirzebruch formula is valid. %U http://arxiv.org/abs/0907.0801v2