Let $pi$ be a square integrable representation of$G'=SL_n(D)$, with $D$ a central division algebra of finite dimensionover a local field $F$ emph{of non-zero characteristic}. We provethat, on the elliptic set, the character of $pi$ equals the complexconjugate of the orbital integral of one of the pseudocoefficientsof~$pi$. We prove also the orthogonality relations for characters ofsquare integrable representations of $G'$. We prove the stabletransfer of orbital integrals between $SL_n(F)$ and its inner forms.
展开▼
机译：令$ pi $为$ G'= SL_n（D）$的平方可积表示，其中$ D $为局部域$ F $ mph {具有非零特征}的有限维的中心除法数。我们证明，在椭圆集上，$ pi $的性质等于〜pipi之一的伪系数的轨道积分的复共轭。我们还证明了$ G'$的平方可积表示的字符的正交关系。我们证明了$ SL_n（F）$及其内部形式之间轨道积分的稳定转移。
展开▼
