The Fourier Transform

  • Brian Davies
Part of the Texts in Applied Mathematics book series (TAM, volume 41)


The Fourier transform has its origins in the concept of Fourier series, developed by Joseph Fourier early in the nineteenth century. It is often treated in the framework of real variable functions and/or Hilbert spaces; here we choose rather to emphasize the power of complex variable theory.1


Fourier Transform Inverse Fourier Transform Summation Formula Poisson Summation Formula Complex Variable Theory 
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Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Brian Davies
    • 1
  1. 1.Mathematics Department, School of Mathematical SciencesAustralian National UniversityCanberraAustralia

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