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The asymptotics of the determinant function for a class of operators

Author: Leonid Friedlander
Journal: Proc. Amer. Math. Soc. 107 (1989), 169-178
MSC: Primary 58G15; Secondary 47B25, 47B38, 47G05
MathSciNet review: 975642
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Abstract: Let $ A$ be an elliptic pseudodifferential operator on a closed manifold $ M$ and $ {\text{ord}}A > \dim M$. We derive the asymptotics of $ \log \det (1 + \varepsilon {A^{ - 1}})$ when $ \varepsilon \to \infty $. The constant term of this asymptotics equals $ - \log \det A$.

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Article copyright: © Copyright 1989 American Mathematical Society