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 Fundam. Prikl. Mat.: Year: Volume: Issue: Page: Find

 Fundam. Prikl. Mat., 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 Peoples' Friendship University of Russia, Moscow
b Leibniz University of Hannover

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.

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Document Type: Article
UDC: 517.9

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

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}