Calculus of conormal distributions on manifolds with corners. (English) Zbl 0754.58035

Melrose, Richard B.

Int. Math. Res. Not. 1992, No. 3, 51-61 (1992).

This is a preliminary publication of a result which will be published in its proper setting in a monograph which the author is currently writing [Differential analysis on manifolds with corners, in preparation]. The main result is that the push forward under a \(b\)-fibration of an integrable polyhomogeneous conormal density on a compact manifold with corners is also polyhomogeneous conormal. Similar results are obtained also for the pull back under a \(b\)-map. The author announces that in the monograph mentioned above, more general results of this type will be presented.

Reviewer: C.S.Sharma (London)

MSC:

58J40	Pseudodifferential and Fourier integral operators on manifolds
35S35	Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc.
57R15	Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)

Keywords:

conormal distributions; corners; elliptic operators