Abstract
In the last section of Chapter 3 we introduced the Lebesgue L p-spaces for general measures and discussed their most basic properties. The most important L p-space, by far, is L 2. Its importance is its role in applications, especially in Fourier analysis. The material of this chapter lies at the foundation of the branch of mathematics called harmonic analysis.
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© 2002 Springer Science+Business Media New York
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Saxe, K. (2002). Fourier Analysis in Hilbert Space. In: Beginning Functional Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3687-8_5
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DOI: https://doi.org/10.1007/978-1-4757-3687-8_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2914-3
Online ISBN: 978-1-4757-3687-8
eBook Packages: Springer Book Archive