Computing, Telecommunication and Control Информатика, телекоммуникации и управление 2687-0517 12 Moments method in generalized functions theory and its applications to system analysis and control. Foundation of the theory Метод моментов в теории обобщенных функций и его приложения в задачах системного анализа и управления. Основы теории Firsov Andrey saiu@ftk.spbstu.ru 10 12 2010 6 113 74 81

«Moments» representations of some classes of generalized functions are given. Theorems, which are producing evidence of main properties of such classes, are presented. The results of the analysis may be taken as a principle of some new techniques of solutions of certain classes of problems of mathematical physics.

 differential operators linear functionals method of moments generalized functions system analysis