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

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.

### 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
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