TY - JOUR AB - Let G be a reductive p-adic group. We study how a local Langlands correspondence for irreducible tempered G-representations can be extended to a local Langlands correspondence for all irreducible smooth representations of G. We prove that, under a natural condition involving compatibility with unramified twists, this is possible in a canonical way. To this end we introduce analytic R-groups associated to non-tempered essentially squareintegrable representations of Levi subgroups of G. We establish the basic properties of these new R-groups, which generalize Knapp–Stein R-groups. AU - Aubert, Anne-Marie AU - Baum, Paul Frank AU - Plymen, Roger AU - Solleveld, Maarten DA - 2014 LA - eng IS - Münster Journal of Mathematics M2 - 27 PY - 2014 SP - 27-50 T2 - Münster Journal of Mathematics TI - On the local Langlands correspondence for non-tempered representations UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-22359595526 Y2 - 2024-11-22T17:48:04 ER -