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Abstract

Fourier transform methods find application in problems formally similar to those for which Laplace transform techniques are a suitable tool. Such applications include integral equations, and partial and ordinary differential equations. The formal difference between the two classes of problems is that Laplace transforms are applied to functions defined on a half-line, while Fourier transforms apply to functions whose domain is the entire real axis. As a consequence, Laplace transforms are associated with initial value problems (transient responses), while Fourier transforms find more common application in input-output (forced response) models

Keywords

Fourier Transform Inversion Formula Convolution Theorem Fourier Inversion Inversion Theorem 
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

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Jon H. Davis
    • 1
  1. 1.Deparment of Mathematics and StatisticsQueen’s UniversityCanada

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