For odd-dimensional Callias-type operators whose potential need not be invertible at infinity, the author derives a functional equation linking two higher-order spectral shift functions and proves a regularized index formula.
Anghel, L2-index formulae for perturbed Dirac operators , Commun
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Higher order spectral shift of Euclidean Callias operators
For odd-dimensional Callias-type operators whose potential need not be invertible at infinity, the author derives a functional equation linking two higher-order spectral shift functions and proves a regularized index formula.