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.


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.)
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