  One of the key ingredients in the recent construction of the generalized
doubling method is a new class of models, called $(k,c)$ models, for local
components of generalized Speh representations. We construct a family of
$(k,c)$ representations, in a purely local setting, and discuss their
realizations using inductive formulas. Our main result is a uniqueness theorem
which is essential for the proof that the generalized doubling integral is
Eulerian.
