Pseudodifferential calculus on a singular foliation

By Iakovos Androulidakis, G. Skandalis. 2009

60 citations recorded by the source corpus.

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).

Subfields: Applied Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7df062891c49f44aff1a99ee7cf675f75d7cce28