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

We show that the complex Radon transform realizes an isomorphism between the space of residual $\bar{\mathrm{\partial }}$-cohomologies of a locally complete intersection subvariety in a linearly concave domain of $\text{C}{P}^n$ and the space of holomorphic solutions of the associated homogeneous system of differential equations withconstant coefficients in the dual domain in $(\text{C}{P}^n{)}^{\ast }$.