Abstract
For an operator \(A:=A_h= A^0(hD) + V(x, hD)\) with a “potential” V decaying as \(|x|\rightarrow \infty \) we establish under certain assumptions the complete and differentiable with respect to \(\tau \) asymptotics of \(e_h(x, x,\tau )\) where \(e_h(x, y,\tau )\) is the Schwartz kernel of the spectral projector.
This research was supported in part by National Science and Engineering Research Council (Canada) Discovery Grant RGPIN 13827.
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Ivrii, V. (2019). Complete Differentiable Semiclassical Spectral Asymptotics. In: Microlocal Analysis, Sharp Spectral Asymptotics and Applications V. Springer, Cham. https://doi.org/10.1007/978-3-030-30561-1_35
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DOI: https://doi.org/10.1007/978-3-030-30561-1_35
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