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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 5, Pages 199–217 (Mi fpm1764)  

On traces of operators associated with actions of compact Lie groups

A. Yu. Savinab, B. Yu. Sterninab

a RUDN University, ul. Miklukho-Maklaya, str. 6, 117198 Moscow, Russia
b Leibniz Universit¨at Hannover, Welfengarten 1, 30167 Hannover, Germany
References:
Abstract: Given a pair $(M,X)$, where $X$ is a smooth submanifold in a closed smooth manifold $M$, we study the operation that takes each operator $D$ on the ambient manifold to a certain operator on the submanifold. The latter operator is called the trace of $D$. More precisely, we study traces of operators associated with actions of compact Lie groups on $M$. We show that traces of such operators are localized at special submanifolds in $X$ and study the structure of the traces on these submanifolds.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.а03.21.0008
Russian Foundation for Basic Research 15-01-08392
16-01-00373
This work was partially supported by RFBR (projects 15-01-08392 and 16-01-00373), by Deutsche Forschungsgemeinschaft (DFG), and also by the Ministry of Education and Science of the Russian Federation, agreement No. 02.a03.21.0008.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 248, Issue 5, Pages 647–660
DOI: https://doi.org/10.1007/s10958-020-04902-1
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. Yu. Savin, B. Yu. Sternin, “On traces of operators associated with actions of compact Lie groups”, Fundam. Prikl. Mat., 21:5 (2016), 199–217; J. Math. Sci., 248:5 (2020), 647–660
Citation in format AMSBIB
\Bibitem{SavSte16}
\by A.~Yu.~Savin, B.~Yu.~Sternin
\paper On traces of operators associated with actions of compact Lie groups
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 5
\pages 199--217
\mathnet{http://mi.mathnet.ru/fpm1764}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 248
\issue 5
\pages 647--660
\crossref{https://doi.org/10.1007/s10958-020-04902-1}
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    Фундаментальная и прикладная математика
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