Haar’s condition and joint polynomiality of separate polynomial functions

• Date: 2017
• Main Authors: Voloshyn, H. A., Kosovan, V. M., Maslyuchenko, V. K., Волошин, Г. А., Косован, В. М., Маслюченко, В. К.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1673
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For systems of functions $F = \{ f_n \in K^X : n \in N\}$ and $G = \{ g_n \in K^Y : n \in N\}$ we consider an $F$ -polynomial $f = \sum^n_{k=1}\lambda_k f_k$, a $G$-polynomial $h = \sum^n_{k,j=1} \lambda_{k,j} f_k \otimes g_j$, and an $F \otimes G$-polynomial $(f_k\otimes g_j)(x, y) = =...