  We extend to the category of relative regular holonomic modules on a manifold
$X$, parametrized by a curve $S$, the Hermitian duality functor (or conjugation
functor) of Kashiwara. We prove that this functor is an equivalence with the
similar category on the conjugate manifold $\overline X$, parametrized by the
same curve. As a byproduct we introduce the notion of regular holonomic
relative distribution.
