Jean Nourrigat
Pseudodifferential calculus
and thermodynamic limits
(80K, tex)
ABSTRACT. If $P(h)$ is a $h-$pseudidifferential operator in $ {\bf R} ^n$
associated to an holomorphic bounded symbol in some neighborhood
of the real phase space, we describe the symbol of $e^{-tP(h)}$,
by inequalities where the constants depend on the bounds for the
symbol of $P(h)$, but not on the dimension $n$. Some applications to
thermodynamic limits are given.