28 citations · 59 across the 21 of their papers we have counts for
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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…
Guillemin Transform and Toeplitz Representations for Operators on Singular Manifolds
V. Nazaikinskii, G. Rozenblum, A. Savin +1
An approach to the construction of index formulas for elliptic operators on singular manifolds is suggested on the basis of K-theory of algebras and cyclic cohomology. The equivale…