19 citations · 31 across the 4 of their papers we have counts for
4 papers
On traces of operators, associated with actions of compact Lie groups
A. Yu. Savin, B. Yu. Sternin
Given a pair , where is a smooth submanifold in a closed smooth manifold , we study the operation, which takes each operator on the ambient manifold to a certain…
Pseudodifferential Operators on Stratified Manifolds
V. Nazaikinskii, A. Savin, B. Sternin
We consider a specific class of manifolds with singularities, namely, stratified manifolds, and describe a class of pseudodifferential operators (PsiDO) related to differential ope…
On the Homotopy Classification of Elliptic Operators on Manifolds with Edges
V. Nazaikinskii, A. Savin, B. -W. Schulze +1
We obtain a classification of elliptic operators modulo stable homotopy on manifolds with edges (this is in some sense the simplest class of manifolds with nonisolated singularitie…
Elliptic operators in even subspaces
A. Yu. Savin, B. Yu. Sternin
In the paper we consider the theory of elliptic operators acting in subspaces defined by pseudodifferential projections. This theory on closed manifolds is connected with the theor…