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Basis Properties of Fourier Series

  • Christopher Heil
Chapter
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

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

Keywords

Fourier Series Bounded Mapping Trigonometric Polynomial Conjugate Function Dense Subspace 
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.

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Copyright information

© Birkhäuser Boston 2011

Authors and Affiliations

  1. 1.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA

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