Translation functors for locally analytic representations

Let G be a p-adic Lie group with reductive Lie algebra Formula: see text. In analogy to the translation functors introduced by Bernstein and Gelfand on the categories of Formula: see text-modules, we consider similarly defined functors on the category of modules over the locally analytic distribution algebra Formula: see text on which the center of Formula: see text acts locally finitely. These functors induce equivalences between certain subcategories of the latter category. Furthermore, these translation functors are naturally related to those on category Formula: see text via the functors from category Formula: see text to the category of coadmissible modules. We also investigate the effect of the translation functors on locally analytic representations Formula: see text associated by the p-adic Langlands correspondence for Formula: see text to two-dimensional Galois representations V.