Let be a Kahler manifold, where I" similar to pi (1) (M) and is the universal Kahler cover. Let (L, h) -> M be a positive hermitian holomorphic line bundle. We first prove that the L (2) SzegA projector for L (2)-holomorphic sections on the lifted bundle is related to the SzegA projector for H (0)(M, L (N) ) by . We then apply this result to give a simple proof of Napier's theorem on the holomorphic convexity of with respect to and to surjectivity of Poincar, series.
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