%0 Journal Article
%T Distinguished representations of $GL(n,\mathbb{C})$
%A Alexander Kemarsky
%J Mathematics
%D 2012
%I arXiv
%X Let $V$ be a $GL_n(\mathbb{R})$-distinguished, irreducible, admissible representation of $GL_n(\mathbb{C})$. We prove that any continuous linear functional on $V$, which is invariant under the action of the real mirabolic subgroup, is automatically $GL_n(\mathbb{R})$-invariant.
%U http://arxiv.org/abs/1212.6436v1