Geodesic
On two methods of determining $\eta$-invariants of elliptic boundary-value problems
Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 70 (2024) no. 3, pp. 403-416

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For a class of boundary-value problems with a parameter that are elliptic in the sense of Agranovich–Vishik, we establish the equality of the $\eta$-invariant defined in terms of the Melrose regularization and the spectral $\eta$-invariant of the Atiyah–Patodi–Singer type defined using the analytic continuation of the spectral $\eta$-function of the operator.
Keywords: elliptic boundary-value problems with a parameter, regularized traces.
Mots-clés : $\eta$-invariants, spectral invariants 
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K. N. Zhuikov; A. Yu. Savin. On two methods of determining $\eta$-invariants of elliptic boundary-value problems. Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 70 (2024) no. 3, pp. 403-416. http://geodesic.mathdoc.fr/item/CMFD_2024_70_3_a4/