Fourier Analysis of Almost Periodic Functions

Abstract

The Fourier analysis implies the study of such concepts as Fourier series (which constitutes a special case of the general concept of trigonometric series), Fourier transforms, Fourier integrals, and other related topics. It is well known that these concepts and related methods play a central role in investigating such phenomena as oscillations and waves. They are also relevant in systems theory and other branches of applied science. Fourier analysis also has been for almost two centuries one of the most powerful engines in advancing real analysis, approximation theory, and other fields.

The original concept of a Fourier series preoccupied not only Fourier and his contemporaries but many other mathematicians and scientists, the name of Euler being one of the first to be mentioned.