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- W2895710321 abstract "In this paper, we show that the trace of the operators $Aeta(tmathcal{L})$ where $A$ and $mathcal {L}$ are classical pseudo-differential operators on a compact manifold $M$ and $mathcal {L}$ is elliptic and self-adjoint admits an expansion in powers of $tto 0^+$. The functions $eta$ being smooth and compactly supported on $mathbb R$ have no meromorphic properties, unlike in the case of the heat trace or zeta functions. We also show that the constant coefficients in our expansions are related to the non-commutative residue and the canonical trace of $A$." @default.
- W2895710321 created "2018-10-12" @default.
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- W2895710321 date "2018-10-03" @default.
- W2895710321 modified "2023-10-16" @default.
- W2895710321 title "Real trace expansions" @default.
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