Valiron-type and Valiron–Titchmarsh-type theorems for subharmonic functions of slow growth

• Date: 2026
• Main Authors: Zabolotskyy, M. V., Zabolotskyy, T. M., Tarasyuk, S. I., Заболоцький, М. В., Заболоцький, Т. М., Тарасюк, С. І.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7251
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.53 Let $u$ be a function of zero order subharmonic in $\mathbb{R}^m,$ $m\geq 2,$ with Riesz measure $\mu$ on the negative semiaxis $Ox_1,$  n(r,u)=\mu\big(\big\{x\in\mathbb{R}^m\colon |x|\leq r\big\}\big),$ $d_m=m-2$ for $m\geq 3,$ $d_2=1,$ and $N(r,u)=d_m\displaystyle\int\nolim...