La surjectivité de l'application moyenne pour les espaces préhomogènes

AbstractLet ƒ be an homogeneous polynomial on Rn. First an analog of the Borel theorem is proved for the distributions which appear at the poles of the distribution |ƒ|s (s ∈ C). If ƒ 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 ƒ