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arXiv 0710.4087math.CVmath.AP
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蠕虫域的分析与几何

Analysis and geometry on worm domains

Steven G. Krantz, Marco M. Peloso

摘要:

我们描述了最近的工作伯格曼内核的(非光滑)蠕虫域在几个复变数。得到了Bergman核的一个渐近展开。研究了Bergman投影的映射性质。建立了核在边界处的不规则性。这是一个临时文件,并提供了相当多的背景。还包括对光滑蜗杆的讨论。

英文摘要:

We describe recent work on the Bergman kernel of the (non-smooth) worm domain in several complex variables. An asymptotic expansion is obtained for the Bergman kernel. Mapping properties of the Bergman projection are studied. Irregularity properties of the kernal at the boundary are established. This is an expository paper, and considerable background is provided. Discussion of the smooth worm is also included.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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