19 citations · 47 across the 6 of their papers we have counts for
6 papers
Elliptic Operators Associated with Groups of Quantized Canonical Transformations
Anton Savin, Elmar Schrohe, Boris Sternin
Given a Lie group of quantized canonical transformations acting on the space over a closed manifold , we define an algebra of so-called -operators on . W…
Elliptic -operators on manifolds with isolated singularities
Anton Savin, Boris Sternin
In the present work we study elliptic operators on manifolds with singularities in the situation, when the manifold is endowed with an action of a discrete group . As usual in e…
Elliptic theory for operators associated with diffeomorphisms of smooth manifolds
Anton Savin, Boris Sternin
In this paper we give a survey of elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Such operators appear naturally in analysis, geometry and mathe…
Index of elliptic operators for a diffeomorphism
Anton Savin, Boris Sternin
We develop elliptic theory of operators associated with a diffeomorphism of a closed smooth manifold. The aim of the present paper is to obtain an index formula for such operators…
Index defects in the theory of spectral boundary value problems
A. Yu. Savin, B. Yu. Sternin
In this paper, we survey recent results on index defects of elliptic operators on manifolds with boundary. Index defects are similar to the Hirzebruch signature defects in topology…
Boundary Value Problems on Manifolds with Fibered Boundary
A. Yu. Savin, B. Yu. Sternin
We define a class of boundary value problems on manifolds with fibered boundary. This class is in a certain sense a deformation between the classical boundary value problems and th…