ABSTRACT
Here, we will tie together several different threads of Fourier analysis. We will extend our discussion from part II regarding periodic functions and their Fourier series, and, using our generalized theory, we will discover the intimate relation between the Fourier series and the Fourier transforms of periodic functions. In addition, we will develop material that will help form the framework for yet another “theory” of Fourier analysis — the “discrete theory” — that will be developed in later chapters.
