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.