Fourier Analysis in Hilbert Space

  • Karen Saxe
Part of the Undergraduate Texts in Mathematics book series (UTM)


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.


Hilbert Space Fourier Series Product Space Fourier Coefficient Trigonometric Polynomial 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Karen Saxe
    • 1
  1. 1.Mathematics DepartmentMacalester CollegeSt. PaulUSA

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