Some problems of integration in a space of an infinite number of dimensions and summability of Fourier series

Author: natia khatisashvili
Keywords: Infinite number of variables, Fourier series, summability
Annotation:

The idea of the present work is to develop the theory of functions infinite number of variables in close analogy of the case of theory of the n-dimensional space. One of the main deals of this work is to establish a theory of Fourier series for functions of infinite number of variables and study some problems of summability of this series. The work is an abstract nature.