Abstract
Let ƒ be an homogeneous polynomial on R n . 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.
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