Integral formulas for the $\bar{\partial }$-equation on complex projective algebraic manifolds

Telemachos Hatziafratis

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Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.

Bo Berndtsson (1988)

Publicacions Matemàtiques

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We construct a variant of Koppelman's formula for (0,q)-forms with values in a line bundle, O(l), on projective space. The formula is then applied to a study of a Radon transform for (0,q)-forms, introduced by Gindikin-Henkin-Polyakov. Our presentation follows along the basic lines of Henkin-Polyakov [3], with some simplifications.