SzegA kernels and Poincar, series

作者：Lu Zhiqin^*; Zelditch Steve

来源：Journal d Analyse Mathematique, 2016, 130(1): 167-184.

DOI：10.1007/s11854-016-0033-9

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.

• 出版日期2016-11
• 单位西北大学