Differentiable, holomorphic, and analytic functions on complex Φ-algebras
| dc.contributor.author | Roelands, M. | |
| dc.contributor.author | Schwanke, Christopher | |
| dc.date.accessioned | 2024-08-07T05:50:57Z | |
| dc.date.available | 2024-08-07T05:50:57Z | |
| dc.date.issued | 2025-01 | |
| dc.description.abstract | 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. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.librarian | hj2024 | en_US |
| dc.description.sdg | None | en_US |
| dc.description.uri | http://www.elsevier.com/locate/jmaa | en_US |
| dc.identifier.citation | Roelands, M. & Schwanke, C. 2025, 'Differentiable, holomorphic, and analytic functions on complex Φ-algebras', Journal of Mathematical Analysis and Applications, vol. 541, no. 1, art. 128671, pp. 1-26, doi : 10.1016/j.jmaa.2024.128671. | en_US |
| dc.identifier.issn | 0022-247X (print) | |
| dc.identifier.issn | 1096-0813 (online) | |
| dc.identifier.other | 10.1016/j.jmaa.2024.128671 | |
| dc.identifier.uri | http://hdl.handle.net/2263/97473 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | © 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC license. | en_US |
| dc.subject | Differentiation | en_US |
| dc.subject | Complex vector lattice | en_US |
| dc.subject | Analytic function | en_US |
| dc.subject | Holomorphic function | en_US |
| dc.title | Differentiable, holomorphic, and analytic functions on complex Φ-algebras | en_US |
| dc.type | Article | en_US |