  We review the method for constructing local relativistic fields corresponding
to the Bargmann-Wigner wave functions that describe the unitary irreducible
representations of the $4D$ Poincar\'{e} group. The method is based on the use
of the generalized Wigner operator connecting the wave functions of induced
representations and local relativistic fields. Applications of this operator
for constructing massive local relativistic fields as well as massless helicity
local fields and massless local infinite spin fields are considered.
