Integral representations of generalized axially symmetric potentials in a simply connected domain

• Дата: 2009
• Автори: Gryshchuk, S. V., Plaksa, S. A., Грищук, С. В., Плакса, С. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2009
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3012
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain integral representations of generalized axially symmetric potentials via analytic functions of a complex variable that are defined in an arbitrary simply connected bounded domain symmetric with respect to the real axis. We prove that these integral representations establish a one-to-one co...