论文标题
分析性伯格曼投影的直接方法
A direct approach to the analytic Bergman projection
论文作者
论文摘要
我们开发了一种直接的方法，用于在全体形态功能的指数加权空间中的伯格曼预测，具有实际分析性的严格分析性。特别是，该方法不依赖于库兰尼人的技巧，它使我们能够缩短并简化由于Rouby-Sjöstrand-VũNgoc和Deleporte引起的结果证明，并指出在分析案例中，无酶的伯格曼投影的幅度是实现经典分析符号的实现。
We develop a direct approach to the semiclassical asymptotics for Bergman projections in exponentially weighted spaces of holomorphic functions, with real analytic strictly plurisubharmonic weights. In particular, the approach does not rely upon the Kuranishi trick and it allows us to shorten and simplify proofs of a result due to Rouby-Sjöstrand-Vũ Ngoc and Deleporte, stating that in the analytic case, the amplitude of the asymptotic Bergman projection is a realization of a classical analytic symbol.
