Integral theorems in finite-dimensional commutative algebra

• Date: 2023
• Author Affiliations: Sergiy Plaksa — Institute of Mathematics of the National Academy of Science of Ukraine; Vitaliy Shpakivskiy — Institute of Mathematics of the National Academy of Science of Ukraine
• Keywords: keywords
• Main Authors: Plaksa, Sergiy, Shpakivskiy, Vitaliy, Плакса, Сергій, Шпаківський, Віталій
• Format: Article
• Language: Ukrainian; English
• Published: Інститут математики НАН України 2023
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/533
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

For monogenic (continuous and differentiable in the sense of G\^ateaux) functions given in special real subspaces of an arbitrary finite-dimensional commutative associative algebra over the complex field and taking values in this algebra, we establish basic properties analogous to properties of holo...