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Contemporary Mathematics. Fundamental Directions, 2016, Volume 59, Pages 173–191 (Mi cmfd292)  

This article is cited in 2 scientific papers (total in 2 papers)

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
Full-text PDF (276 kB) Citations (2)
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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 12-01-00577
15-01-08392
16-01-00373
German Academic Exchange Service (DAAD)
Simons Foundation
Document Type: Article
UDC: 517.9
Language: Russian
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}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Современная математика. Фундаментальные направления
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