A transversal Fredholm property for the $\bar\partial$-Neumann problem on $G$-bundles

Let $M$ be a strongly pseudoconvex complex $G$-manifold with compact quotient $M/G$. We provide a simple condition on forms $α$ sufficient for the regular solvability of the equation $\square u=α$ and other problems related to the $\bar\partial$-Neumann problem on $M$.

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