On differentiable and monogenic functions in a harmonic algebra

• Datum: 2017
• Автори та афіліації: S. A. Plaksa — Institute of Mathematics of the National Academy of Sciences of Ukraine
• Ключові слова: keywords
• 1. Verfasser: Plaksa, S. A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2017
• Online Zugang: 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...