%A ?. ?. ??????????? %A ?. ?. ?????????? %J Journal of Mathematical Sciences %T Analytic functions of a vector argument and partially conformal mappings in continuum complex spaces %X A vector generalization of the main concepts in the theory of functions of a complex variable? the concepts of the modulus and the argument of the complex number?is proposed. The authors introduce a certain generalization of the concept of holomorphic functions and mappings in the case of continuum complex spaces. %N 3 %K Linear vector space, basis of space, continuum complex space, vector product of elements, Riemannian theorem %P 500-505 %V 270 %D 2023 %I Springer Science+Business Media %L zu237426