La surjectivité de l'application moyenne pour les espaces préhomogènes

Let ? be an homogeneous polynomial on $\text{R}$ⁿ. First an analog of the Borel theorem is proved for the distributions which appear at the poles of the distribution |?|^s (s ∈ $\text{C}$). If ? is the relative invariant of an irreducible regular prehomogeneous vector space, the preceding result is used to characterize the functions which are obtained by integration on the fibers of ?.