Fourier Transform

Patrick Dewilde

Patrick Dewilde

Delft University of Technology

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First published: 27 December 1999

Abstract

The sections in this article are

  • 1 Historical Notes
  • 2 The Basic Framework For Harmonic Analysis: Hilbert Spaces
  • 3 The DFT, The FFT, and Convolution
  • 4 The Fourier Transform of an ℓ2 Series: Convolution and Properties
  • 5 The Fourier Transform of Continuous Time Functions
  • 6 The Laplace Transform
  • 7 Discrete- and Continuous-Time Dynamical Systems and Their Transform Properties
  • 8 Distributions or Generalized Functions: a New Framework

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