Combinatorial methods of integrated geometry
"Математика. Компьютер. Образование". Cб. трудов XII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2005. Vol. 2, 466pp. Pp. 746-758.
The task of integrated geometry consists in restoration of function by its integrals on the given system of subsets in its definition domain. The task generalization, which connected to restoration of function by meanings of system linear operators on it, is considered also. In both cases the reduction of a task to a sequence of finite dimension tasks is carried out. The new formulas of the inversion are received.