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.
CITATION STYLE
Heil, C. (2011). Basis Properties of Fourier Series. In Applied and Numerical Harmonic Analysis (pp. 455–465). Springer International Publishing. https://doi.org/10.1007/978-0-8176-4687-5_14
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