Complete Differentiable Semiclassical Spectral Asymptotics

  • Victor IvriiEmail author


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.

Key words and phrases

Microlocal Analysis differentiable complete spectral asymptotics 

2010 Mathematics Subject Classification:



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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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