Complete Differentiable Semiclassical Spectral Asymptotics
Victor Ivrii ()
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Victor Ivrii: University of Toronto, Department of Mathematics
Chapter Chapter 35 in Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, 2019, pp 607-618 from Springer
Abstract:
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.
Keywords: Microlocal Analysis; differentiable complete spectral asymptotics; 35P20 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-30561-1_35
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DOI: 10.1007/978-3-030-30561-1_35
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