论文标题
复杂$φ$ - 代理的可区分，塑形和分析功能
Differentiable, Holomorphic, and Analytic Functions on Complex $Φ$-Algebras
论文作者
论文摘要
使用订单收敛网的概念，我们在Archimedean Complex $φ$-代理上开发了一种订单理论方法。最值得注意的是，我们改善了两位作者在上一篇论文中给出的普遍完整复杂的矢量晶格的Cauchy-Hadamard公式，以证明在此抽象环境中的分析功能是全态的。
Using the notion of order convergent nets, we develop an order-theoretic approach to differentiable functions on Archimedean complex $Φ$-algebras. Most notably, we improve the Cauchy-Hadamard formulas for universally complete complex vector lattices given by both authors in a previous paper in order to prove that analytic functions are holomorphic in this abstract setting.
