%A ?. ?. ?????? %A ?. ?. ??????????? %J Recherches sur les d?eformations %T Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication %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. %N LXVIII %K Laplace equation, spatial potentials, harmonic algebra, topological vector space, differentiable in the sense of G?ateaux function, monogenic function, Cauchy- Riemann conditions %P 25-36 %V 2 %D 2018 %L zu228414