Плакса С. А. and Шпаківський В. С. (2018) Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication. Recherches sur les d´eformations. Т. 2, № LXVIII. pp. 25-36.
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Abstract
We consider monogenic functions taking values in a topological vector space being an
expansion of a certain infinite-dimensional commutative Banach algebra associated with
the three-dimensional Laplace equation. We establish also integral theorems for monogenic
functions taking values in the mentioned algebra and the mentioned topological vector
space.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Laplace equation, spatial potentials, harmonic algebra, topological vector space, differentiable in the sense of Gˆateaux function, monogenic function, Cauchy- Riemann conditions |
| Subjects: | Q Science > QA Mathematics > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics |
| Depositing User: | Ірина Ігорівна Таргонська |
| Date Deposited: | 26 Feb 2019 11:40 |
| Last Modified: | 26 Feb 2019 11:49 |
| URI: | https://eprints.zu.edu.ua/id/eprint/28414 |
| ДСТУ 8302:2015: | Плакса С. А. and Шпаківський В. С. Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication. Recherches sur les d´eformations. 2018. Т. 2, № LXVIII. pp. 25-36. |
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