Let 𝔸 nm be an arbitrary n-dimensional commutative associative algebra over the field of
complex numbers with m idempotents. Let e 1= 1, e 2, e 3 be elements of 𝔸 nm which are …

Let $\mathbb {A} _n^ m $ be an arbitrary $ n $-dimensional commutative associative algebra
over the field of complex numbers with $ m $ idempotents. Let $ e_1= 1, e_2,\ldots, e_k …

We obtain a constructive description of monogenic functions taking values in a finite-
dimensional semi-simple commutative algebra by means of holomorphic functions of the …

We obtain a constructive description of monogenic functions taking values in a finite-
dimensional commutative algebra with unit and radical of maximal dimensionality by means …

The methods involving the functions analytic in a complex plane for plane potential fields
inspire the search for the analogous efficient methods for solving the spatial and …

Consider the commutative algebra $\mathbb {B} $ over the field of complex numbers with
the bases $\{e_1, e_2\} $ such that% satisfying the conditions $(e_1^ 2+ e_2^ 2)^ 2= 0 …

We obtain explicitly principal extensions of analytic functions of the complex variable into an
infinite-dimensional commutative Banach algebra associated with the three-dimensional …

We establish integral theorems for monogenic functions taking values in an infinite-
dimensional commutative Banach algebra associated with spatial potential solenoid fields …

It is well-known that it is impossible to obtain all solutions of the three-dimensional Laplace
equation as components of monogenic functions taking values in finite-dimensional …

For monogenic (continuous and differentiable in the sense of Gâteaux) functions given in
special real subspaces of an arbitrary finitedimensional commutative associative algebra …