On differentiable and monogenic functions in a harmonic algebra

• Дата: 2017
• Автор: Plaksa, S. A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2017
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/114
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

For locally bounded and differentiable in the sense of G\^ateaux functions $\Phi$ given in a three-dimensional commutativeharmonic algebra with two-dimensional radical, we prove the following statement: if the function $\Phi$ domain is convex "in the radical direction" and the diff...