Abstract
We define pseudodifferential operators on manifolds with singularities of smooth edge type and construct a calculus of such operators. We prove that a pseudodifferential operator is invariant with respect to a certain natural class of diffeomorphisms of the manifold. We introduce a scale of function spaces (weighted analogs of the Sobolev classes) and establish theorems on boundedness of pseudodifferential operators in this scale. Bibliography: 8 titles.
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