  We present a theory of composite fermion edge states and their transport
properties in the fractional and integer quantum Hall regimes. We show that the
effective electro-chemical potentials of composite fermions at the edges of a
Hall bar differ, in general, from those of electrons. An expression for the
difference is given. Composite fermion edge states of three different types are
identified. Two of the three types have no analog in previous theories of the
integer or fractional quantum Hall effect. The third type includes the usual
integer edge states. The direction of propagation of the edge states agrees
with experiment. The present theory yields the observed quantized Hall
conductances at Landau level filling fractions p/(mp+-1), for m=0,2,4, p=
1,2,3,... It explains the results of experiments that involve conduction across
smooth potential barriers and through adiabatic constrictions, and of
experiments that involve selective population and detection of fractional edge
channels. The relationship between the present work and Hartree theories of
composite fermion edge structure is discussed.
