Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I

• Дата: 1996
• Автори: Mel'nichenko, I. P., Plaksa, S. A., Мельниченко, И. П., Плакса, С. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1996
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5206
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain a new representation of potential and flow functions for space potential solenoidal fields with axial symmetry. We study principal algebraic-analytical properties of monogenic functions of a vector variable with values in an infinite-dimensional Banach algebra of even Fourier series and de...