Part of the book series:Applied and Numerical Harmonic Analysis ((ANHA))
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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
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School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA
Christopher Heil
- Christopher Heil
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Correspondence toChristopher Heil.
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© 2011 Birkhäuser Boston
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Heil, C. (2011). Basis Properties of Fourier Series. In: A Basis Theory Primer. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4687-5_14
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Online ISBN:978-0-8176-4687-5
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