On the integral of a function along the trajectories of a nilpotent flow

• Date: 1995
• Main Authors: Parasyuk, I. O., Samoilenko, A. M., Парасюк, І. О., Самойленко, А. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5476
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions under which the integral of a function along a nilpotent flow on the Heisenberg-Iwasawa manifold increases not faster than $|t|^{1/2+ ε},\; 0 < ε < 1$ and indicate cases where this integral can be represented as a superposition of a function defined on a nilma...