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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 5, Pages 199–217
(Mi fpm1764)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/fpm1764 https://www.mathnet.ru/eng/fpm/v21/i5/p199
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