Basis Properties of Fourier Series

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


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


Fourier Series Bounded Mapping Trigonometric Polynomial Conjugate Function Dense Subspace 
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Copyright information

© Birkhäuser Boston 2011

Authors and Affiliations

  1. 1.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA

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