Fourier analysis and some applications

Author: Ani Ozbetelashvili
Keywords: Fourier series; Derivation of the heat equation; wave equation; The isoperimetric inequality; Weyl's
Annotation:

This work is of abstract character. It includes the beginning of Furies analysis, basic definitions and commandments . The basic classical provisions are presented with its results, also discussed several examples of using Furies analysis as well in Mathematical field as in other fields ( namely in numerical theory and geometry).