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Roelands, M.; Schwanke, C.
Journal of mathematical analysis and applications, 01/2025, Letnik: 541, Številka: 1Journal Article
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.
