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We show that the complex Radon transform realizes an isomorphism between thespace of residual $\bar\partial$-cohomologies of a locally completeintersection subvariety in a linearly concave domain of ${\C}P^n$ and the spaceof holomorphic solutions of the associated homogeneous system of differentialequations withconstant coefficients in the dual domain in $({\C}P^n)^*$.

Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn