@article {11482, title = {Pseudodifferential calculus on a singular foliation}, journal = {J. Noncommut. Geom.}, volume = {5}, year = {2011}, pages = {125{\textendash}152}, abstract = {In a previous paper ([1]), we associated a holonomy groupoid and a C*-algebra to any singular foliation (M,ℱ). Using these, we construct the associated pseudodifferential calculus. This calculus gives meaning to a Laplace operator of any singular foliation ℱ on a compact manifold\ M, and we show that it can be naturally understood as a positive, unbounded, self-adjoint operator on\ L2(M).}, url = {http://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952\&vol=5\&iss=1\&rank=5}, author = {Iakovos Androulidakis and Georges Skandalis} }