论文标题
发芽现象
Germination phenomena
论文作者
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.