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


Sobolev Space Integral Operator Hardy Space Singular Integral Pseudodifferential Operator 
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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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