4 papers
Tolstov`s Theorem in the Commutative Banach Algebra A3
M. V. Tkachuk
In this paper, the conditions of monogenicity are weakened for functions with values in a three-dimensional commutative algebra over the field of complex numbers. By monogenicity w…
An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra
S. A. Plaksa, V. S. Shpakivskyi, M. V. Tkachuk
We prove that a locally bounded and differentiable in the sense of Gateaux function given in a finite-dimensional commutative Banach algebra over the complex field is also differen…
Analog of Menchov-Trokhimchuk theorem for monogenic functions in subspace of the three-dimensional commutative algebra
M. V. Tkachuk
The aim of this work is to weaken the conditions of monogenity for functions that take values in subspaces of one concrete three-dimensional commutative algebras over the field of…
Analog of Menchov-Trokhimchuk theorem for monogenic functions in three-dimensional commutative algebra
M. V. Tkachuk, S. A. Plaksa
The aim of this work is to weaken the conditions of monogenity for functions that take values in one concrete three-dimensional commutative algebras over the field of complex numbe…