WI4007TU Fourier and Laplace Transformation

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Topics: Main theory and practice of the subjects Fourier series, Fourier transform and Laplace transform.
  • Fourier series, pointwise convergence and convergence in norm, the Riemann-Lebesgue lemma, Parseval's relation, Gibbs effect, applications.
  • Fourier transform, properties, inverse transform, Plancherel's relation, Shannon's sampling theorem, the uncertainty principle, applications.
  • Laplace transform, properties, inverse transform, Laplace transform of several special functions (a.o. Bessel functions), applications.
  • Distributions, Fourier transform of a distribution, Laplace transform of a distribution

Teachers

W.G.M. Groenevelt

Last modified: 2023-11-03

Details

Credits: 4 EC
Period: 0/0/4/0 (not running)