Abstract

This paper is in two parts. In the first we work out the asymptotics of functions in the Kirillov model of an irreducible admissible representation of GL₂(D) for a p-adic division algbera D. In the second part we prove a theorem, for GL_n(H) for a quaternionic p-adic division algebra H, of explicitly realizing the contragredient representation and then derive a consequence of this for distinguished representations for GL₂(H).

Authors