Chapter 18 · Fourier Series and the Fourier Transform

Chapter 18: Fourier Series and Fourier Transform

Orthogonal function systems, Fourier coefficients and Fourier series, convergence of classical Fourier series (pointwise, uniform), smoothness and decay rate of Fourier coefficients, completeness of the trigonometric system, the Fourier integral representation, and the Fourier transform (properties and applications).

Exercises to be added.