  The purpose of this paper is to use semiclassical analysis to unify and
generalize Lp estimates on high energy eigenfunctions and spectral clusters. In
our approach these estimates do not depend on ellipticity and order, and apply
to operators which are selfadjoint only at the principal level. They are
estimates on weakly approximate solutions to semiclassical pseudodifferential
equations. The revision corrects an exponent in the main theorems.
