An extension of monogenic functions and spatial potentials
- Authors: Plaksa S.A.1, Shpakivskyi V.S.1
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Affiliations:
- Institute of Mathematics
- Issue: Vol 38, No 2 (2017)
- Pages: 330-337
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199051
- DOI: https://doi.org/10.1134/S1995080217020160
- ID: 199051
Cite item
Abstract
We obtain explicitly principal extensions of analytic functions of the complex variable into an infinite-dimensional commutative Banach algebra associated with the three-dimensional Laplace equation. We consider an extension of differentiable in the sense of Gâteaux functions with values in a topological vector space being an expansion of the mentioned algebra and its relations to spatial potentials.
About the authors
S. A. Plaksa
Institute of Mathematics
Author for correspondence.
Email: plaksa62@gmail.com
Ukraine, Tereshchenkivska ul. 3, Kiev-4, 01601
V. S. Shpakivskyi
Institute of Mathematics
Email: plaksa62@gmail.com
Ukraine, Tereshchenkivska ul. 3, Kiev-4, 01601