Spectral Asymptotics for Operators of Hormander Type

Andrew L. Ursitti

An asymptotic equality of the form ${\mathrm{Tr}}_{L^2}{e}^{-t(L+V)}=C{t}^{-\alpha }+o(t^{-\alpha })$ as $t\to 0$ is given for the trace of the heat semigroup generated by operators o…