The paper proves two theorems giving sufficient conditions for the two-term spectral asymptotics to be unchanged under a compact metric perturbation.
Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory
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Some lemmata on the perturbation of the spectrum
The paper proves two theorems giving sufficient conditions for the two-term spectral asymptotics to be unchanged under a compact metric perturbation.