Параметрична область визначення чотиривимірних 2π-періодичних функцій за умови рівності нулю на періоді їх інтегралів

Abstract

The paper solves the problem of localization in multidimensional space of the region of definition of fourdimensional 2π-periodic functions constructed over the fields of trigonometric sine or cosine values, under the condition that the integrals of such functions are equal to zero over the period which is a necessary decomposition when solving problems of optimizing the operating modes of certain important systems in electrical engineering and electronics according to criteria that are mathematical functionals of either directly four-dimensional 2π-periodic functions or complex functions that depend on them.