Using D-modules formalism and an adjunction formula of D'Agnolo-Schapi
ra [4], we interpret some classical results of Andreotti-Norguet (see
[1] and [2]), and of Barlet (see [4]). This allows us to prove that th
e image of the integral transform obtained by integrating on linear cy
cles of P-n\Pn-p-1 (where 0 < p < n - 1), is the space of holomorphic
functions on the variety of cycles C-p(P-n\Pn-p-1), which are annihila
ted by a family of differential operators of order 4.