This book is a unique exposition of rich and inspiring geometries associated with Möbius
transformations of the hypercomplex plane. The presentation is self-contained and based on …

The hypercomplex analysis in both commutative and noncommutative algebras has been
developing very intensively over last few decades. Its applications are developed to …

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 consider a commutative algebra over the field of complex numbers with a basis {e1, e2}
satisfying the conditions,. Let D be a bounded domain in the Cartesian plane xOy and …

The idea of an algebraic-analytic approach to equations of mathematical physics means to
find a commutative Banach algebra such that monogenic functions with values in this …

This book is the first of two volumes on random motions in Markov and semi-Markov random
environments. This first volume focuses on homogenous random motions. This volume …

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 …