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arXiv · 1809.07126

Complete Differentiable Semiclassical Spectral Asymptotics

Victor Ivrii
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Abstract

For an operator $A:= A_h= A^0(hD) + V(x,hD)$ with a "potential" $V$ decaying as $|x|\to \infty$ we establish under certain assumptions the complete and differentiable with respect to $τ$ asymptotics of $e_h(x,x,τ)$ where $e_h(x,y,τ)$ is the Schwartz kernel of the spectral projector.

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Victor Ivrii. 2018-09-19. Complete Differentiable Semiclassical Spectral Asymptotics. https://arxiv.org/abs/1809.07126

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