Abstract
We show that the complex Radon transform realizes an isomorphism between the quotient-space of residual \({\bar\partial}\) -cohomologies of a locally complete intersection algebraic subvariety in a linearly concave domain of \({{{\mathbb C}}P^n}\) and the space of holomorphic solutions of the associated homogeneous system of differential equations with constant coefficients in the dual domain in \({({{\mathbb C}}P^n)^*}\) .
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Henkin, G.M., Polyakov, P.L. Residual \({\bar\partial}\)-cohomology and the complex Radon transform on subvarieties of \({\mathbb C P^n}\) . Math. Ann. 354, 497–527 (2012). https://doi.org/10.1007/s00208-011-0737-1
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DOI: https://doi.org/10.1007/s00208-011-0737-1