  Muon beams are customarily obtained via $K/\pi$ decays produced in proton
interaction on target. In this paper we investigate the possibility to produce
low emittance muon beams from electron-positron collisions at centre-of-mass
energy just above the $\mu^{+}\mu^{-}$ production threshold with maximal beam
energy asymmetry, corresponding to a positron beam of about 45 GeV interacting
on electrons on target. We present the main features of this scheme with an
outline of the possible applications.
