Geodesic
Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group
Matematičeskie zametki, Tome 112 (2022) no. 5, pp. 705-717.

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$\eta$-invariants for a class of parameter-dependent nonlocal operators associated with an isometric action of a discrete group of polynomial growth on a smooth closed manifold are studied. The $\eta$-invariant is defined as the regularization of the winding number. The formula for the variation of the $\eta$-invariant when the operator changes is obtained. The results are based on the study of asymptotic expansions of traces of parameter-dependent nonlocal operators.
Keywords: elliptic operator, parameter-dependent operator, nonlocal operator
Mots-clés : $\eta$-invariant. 
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K. N. Zhuikov; A. Yu. Savin. Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group. Matematičeskie zametki, Tome 112 (2022) no. 5, pp. 705-717. http://geodesic.mathdoc.fr/item/MZM_2022_112_5_a5/

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