Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group

被引：0

作者：

Zhuikov, K. N. ^{[1
]}

Savin, A. Yu. ^{[1
]}

机构：

[1] RUDN Univ, Peoples Friendship Univ Russia, Moscow 117198, Russia

来源：

MATHEMATICAL NOTES | 2022年 / 112卷 / 5-6期

关键词：

elliptic operator; parameter-dependent operator; nonlocal operator; -invariant; FAMILIES;

D O I：

10.1134/S0001434622110062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：685 / 696

页数：12

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