  The non-Fermi liquid physics at the edge of fractional quantum Hall systems
is described by specific chiral Conformal Field Theories with central charge
c=1. The charged quasi-particles in these theories have fractional charge and
obey a form of fractional statistics. In this paper we study form factors,
which are matrix elements of physical (conformal) operators, evaluated in a
quasi-particle basis that is organized according to the rules of fractional
exclusion statistics. Using the systematics of Jack polynomials, we derive
selection rules for a special class of form factors. We argue that finite
temperature Green's functions can be evaluated via systematic form factor
expansions, using form factors such as those computed in this paper and
thermodynamic distribution functions for fractional exclusion statistics. We
present a specific case study where we demonstrate that the form factor
expansion shows a rapid convergence.
