Fourier Analysis in Hilbert Space
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.
KeywordsHilbert Space Fourier Series Product Space Fourier Coefficient Trigonometric Polynomial
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