Boutet de Monvel operators on singular manifolds (Q1695191)

This paper describes a general Boutet de Monvel calculus with pseudo-differential boundary conditions on the Lie manifold with boundary. The paper also deals with the quantization of Hörmander symbols defined on the conormal bundles. The author restricts this analysis to the case of trace operators. The study developed in this paper is motivated by the fact that the class of Lie manifolds with boundary can be used to model many classes of singular manifolds.