Geodesic
On traces of operators associated with actions of compact Lie groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 5, pp. 199-217.

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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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A. Yu. Savin; B. Yu. Sternin. On traces of operators associated with actions of compact Lie groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 5, pp. 199-217. http://geodesic.mathdoc.fr/item/FPM_2016_21_5_a9/

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