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 p ≠ 2. 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.