Basis Properties of Fourier Series
Christopher Heil · Applied and numerical harmonic analysis · 2010
In this chapter we will prove that the trigonometric system is a Schauder basis for Lp(T) for each. The proof will combine the tools of convolution and approximate identities developed in Chapter 13 with the theory of bases developed in Part II of this volume These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.