%0 Journal Article
%T On Arthur's ¦µ-Function
%A Steven Spallone
%J Mathematics
%D 2005
%I arXiv
%X Write $\Theta^E$ for the stable character associated to a finite dimensional representation $E$ of a connected real reductive group $G$. Let $M$ be the centralizer of a maximal torus $T$, and denote by $\Phi_M(\gm,\Theta^E)$ Arthur's extension of $ |D_M^G(\gm)|^{\half} \Theta^E(\gm)$ to $T(\R)$. In this paper we give a simple explicit expression for $\Phi_M(\gm,\Theta^E)$, when $\gm$ is elliptic in $G$.
%U http://arxiv.org/abs/math/0503524v1