Describes heat kernel asymptotics in closed manifolds, indicating a crucial relation for Laplace-type operators.
We describe the heat kernel asymptotics for roots of a Laplace type operator Δ on a closed manifold. A previously known relation between the Wodzicki residue of Δ and heat trace asymptotics is shown to hold pointwise for the corresponding densities.
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Bär et al. (2003) studied this question.
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