Monogenic functions in finite-dimensional commutative associative algebras

• Datum: 2015
• 1. Verfasser: Shpakivskyi, V. S.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2015
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/176
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

Let $\mathbb{A}_n^m$ be an arbitrary $n$-dimensional commutative associative algebra overthe field of complex numbers with $m$ idempotents. Let $e_1=1$,\break $e_2,\ldots,e_k$, $2\leqk\leq 2n$, are linearly independent over the field of real numbers elements of $\mathbb{A}_n^m$.We consider monogenic...