An extension of monogenic functions and spatial potentials
- Авторлар: Plaksa S.1, Shpakivskyi V.1
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Мекемелер:
- Institute of Mathematics
- Шығарылым: Том 38, № 2 (2017)
- Беттер: 330-337
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199051
- DOI: https://doi.org/10.1134/S1995080217020160
- ID: 199051
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
S. Plaksa
Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: plaksa62@gmail.com
Украина, Tereshchenkivska ul. 3, Kiev-4, 01601
V. Shpakivskyi
Institute of Mathematics
Email: plaksa62@gmail.com
Украина, Tereshchenkivska ul. 3, Kiev-4, 01601