Sharp Spectral Asymptotics for Dirac Energy
Abstract
I derive sharp semiclassical asymptotics of ∫ |eh(x,y,0)|2ω(x,y) dx dy where eh(x,y,τ) is the Schwartz kernel of the spectral projector and ω(x,y) is singular as x=y. I also consider asymptotics of more general expressions.
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