Плакса, С. А. and Шпаківський, В. С. (2018) Integral theorems for monogenic functions in an infinitedimensional space with a commutative multiplication. Recherches sur les d´eformations, 2 (LXVIII). pp. 2536.

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Abstract
We consider monogenic functions taking values in a topological vector space being an expansion of a certain infinitedimensional commutative Banach algebra associated with the threedimensional 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 > Mathematical Analysis 
Divisions:  Faculty of Physics and Mathematics > Department of Mathematical Analysis 
Depositing User:  Ірина Ігорівна Таргонська 
Date Deposited:  26 Feb 2019 09:40 
Last Modified:  26 Feb 2019 09:49 
URI:  http://eprints.zu.edu.ua/id/eprint/28414 
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