论文标题

发芽现象

Germination phenomena

论文作者

Pascoe, J. E.

论文摘要

复杂分析中的许多定理传播分析性,例如外部定理,边缘定理等。我们给出了一个发芽定理,该定理允许在完整的规范领域中进行一般的分析传播。反过来,我们开发了前提定理,边缘定理和皇家公路定理的一般类似物,并深入了解了双曲线多项式的零组的几何形状。

Many theorems in complex analysis propagate analyticity, such as the Forelli theorem, edge-of-the-wedge theorem and so on. We give a germination theorem which allows for general analytic propagation in complete normed fields. In turn, we develop general analogs of the Forelli theorem, edge-of-the-wedge theorem, and the royal road theorem, and gain insight into the geometry of the zero sets of hyperbolic polynomials.

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