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Essentials of the Fourier Transform

  • Steven G. Krantz
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

The nature of Fourier analysis on the circle T is determined by the collection of characters on the circle: these are the continuous, multiplicative homomorphisms of T into T itself—namely the functions t ↦ eint for n ∈ ℤ. The Peter–Weyl theorem tells us that a viable Fourier analysis may be built on these characters

Keywords

Sobolev Space Integral Operator Hardy Space Singular Integral Pseudodifferential Operator 
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, a part of Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Dept. MathematicsWashington UniversitySt.LouisUSA

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