19 citations · 103 across the 30 of their papers we have counts for
30 papers
Noncommutative Residues, Equivariant Traces, and Trace Expansions for an Operator Algebra on
Anton Savin, Elmar Schrohe
We consider an algebra of Fourier integral operators on . It consists of all operators on the Schw…
Trace Expansions and Equivariant Traces on an Algebra of Fourier Integral Operators on
Anton Savin, Elmar Schrohe
We consider the operator algebra on generated by the Shubin type pseudodifferential operators, the Heisenberg-Weyl operators and the lifts of…
Equivariant cyclic cocycles on the Boutet de Monvel symbol algebra
A. V. Boltachev, A. Yu. Savin
We construct a periodic cyclic cocycle on the symbol algebra of Boutet de Monvel operators and use it to interpret the index formula for elliptic pseudodifferential boundary value…
An Index Formula for Groups of Isometric Linear Canonical Transformations
Anton Savin, Elmar Schrohe
We define a representation of the unitary group by metaplectic operators acting on and consider the operator algebra generated by the operators of the re…
Local Index Formulae on Noncommutative Orbifolds and Equivariant Zeta Functions for the Affine Metaplectic Group
Anton Savin, Elmar Schrohe
We consider the algebra of bounded operators on generated by quantizations of isometric affine canonical transformations. The algebra includes as subalg…
Index of nonlocal elliptic boundary value problems associated with isometric group actions
Anton Savin
Given a compact manifold with boundary endowed with an isometric action of a discrete group of polynomial growth, we state an index theorem for elliptic elements in the algebra of…