Complete Differentiable Semiclassical Spectral Asymptotics

Victor Ivrii

Complete Differentiable Semiclassical Spectral Asymptotics

Spectral Theory 2018-09-20 v1

Authors: Victor Ivrii

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 $\tau$ asymptotics of $e_h(x,x,\tau)$ where $e_h(x,y,\tau)$ is the Schwartz kernel of the spectral projector.

Keywords

spectral theory numerical range asymptotic analysis

Cite

@article{arxiv.1809.07126,
  title  = {Complete Differentiable Semiclassical Spectral Asymptotics},
  author = {Victor Ivrii},
  journal= {arXiv preprint arXiv:1809.07126},
  year   = {2018}
}

Comments

12pp

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