Basic Fourier Series

Abstract

We will now study the basic rules of Fourier Series. You can study these basic principles for years in order to completely understand some of the many subtleties. The concentration of this book will be to quickly understand Fourier Series at a level which will allow to study their many applications. The reader is then encouraged to look further for a more in-depth understanding of the topics from the many other resources (Benedetto, Harmonic analysis and applications, CRC Press, 1996, [1]; Bracewell, The Fourier Transform and its applications, 1999, [3]; Cheney, Approximation theory, Chelsea Publishing Company, New York, [5]; Rudin, Real and complex analysis, McGraw-Hill, 1974, [17]; Tolstov, Fourier Series, Dover, London, 1962, [20]).