Résumé
Let
$\pi $
be a square integrable representation of
${G}'=\text{S}{{\text{L}}_{n}}(D)$
, with
$D$
a central division algebra of finite dimension over a local field
$F$
of non-zero characteristic. We prove that, on the elliptic set, the character of
$\pi $
equals the complex conjugate of the orbital integral of one of the pseudocoefficients of
$\pi $
. We prove also the orthogonality relations for characters of square integrable representations of
${G}'$
. We prove the stable transfer of orbital integrals between
$\text{S}{{\text{L}}_{n}}(F)$
and its inner forms.