Conductors and newforms for non-supercuspidal representations of   unramified U(2,1)
  Let G be the unramified unitary group in three variables defined over a p-adic field with odd p. The conductors and newforms for representations of G are defined by using a certain family of open compact subgroups of G. In this paper, we determine the conductors of non-supercuspidal representations of G, and give explicit newforms in induced representations for non-supercuspidal generic representations. 
Michitaka Miyauchi
math.RT math.NT