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Pseudodifferential operators on stratified manifolds. (English. Russian original) Zbl 1133.58023
Differ. Equ. 43, No. 4, 536-549 (2007); translation from Differ. Uravn. 43, No. 4, 519-532 (2007).
The aim of the study is to describe a class of zero-order pseudodifferential operators related to differential operators with degeneration of first order with respect to the distance to the strata on a stratified manifold. The paper contains auxiliary results related to the localization principles for abstract local operators. It is announced that the results about the pseudodifferential operators will be published in the second part of the paper.

58J40 Pseudodifferential and Fourier integral operators on manifolds
35S35 Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc.
Full Text: DOI
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