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 CMFD, 2016, Volume 59, Pages 173–191 (Mi cmfd292)

Elliptic $G$-operators on manifolds with isolated singularities

A. Yu. Savinab, B. Yu. Sterninab

a Peoples' Friendship University of Russia, Moscow, Russia
b Gottfried Wilhelm Leibniz Universität Hannover, Hannover, Germany

Abstract: We study elliptic operators on manifolds with singularities such that a discrete group $G$ acts on the manifold. Following the standard elliptic theory approach, we define the Fredholm property of an operator by its principal symbol. For this problem, we prove that the symbol is a pair consisting of the symbol on the principal stratum (the inner symbol) and the symbol at the conical point (the conormal symbol). We establish the Fredholm property of elliptic elements.

 Funding Agency Grant Number Russian Foundation for Basic Research 12-01-0057715-01-0839216-01-00373 German Academic Exchange Service (DAAD) Simons Foundation

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UDC: 517.9

Citation: A. Yu. Savin, B. Yu. Sternin, “Elliptic $G$-operators on manifolds with isolated singularities”, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 2, CMFD, 59, PFUR, M., 2016, 173–191

Citation in format AMSBIB
\Bibitem{SavSte16} \by A.~Yu.~Savin, B.~Yu.~Sternin \paper Elliptic $G$-operators on manifolds with isolated singularities \inbook Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22--29, 2014). Part~2 \serial CMFD \yr 2016 \vol 59 \pages 173--191 \publ PFUR \publaddr M. \mathnet{http://mi.mathnet.ru/cmfd292}