%0 Journal Article %A Плакса, С. А. %A Шпаківський, В. С. %D 2018 %F zu2:28414 %J Recherches sur les d´eformations %K Laplace equation, spatial potentials, harmonic algebra, topological vector space, differentiable in the sense of Gˆateaux function, monogenic function, Cauchy- Riemann conditions %N LXVIII %P 25-36 %T Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication %U http://eprints.zu.edu.ua/28414/ %V 2 %X 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.