Integral theorems for monogenic functions in commutative algebras

• Date: 2015
• Main Authors: Shpakivskyi, V. S., Шпаківський, В. С.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/308
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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