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The difference between Fourier Series, Fourier Transform and Laplace Transform

  1. Oct 12, 2004 #1

    mathman

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    Mathematically, these are three distinct, although related beasts.
    Laplace transform (function f(x) defined from 0 to inf) integral of f(x)e-xt, defined for t>=0.
    Fourier transform (function f(x) defined from -inf to inf) integral of f(x)e-itx defined for all real t.
    Complex Fourier series (function f(x) defined on finite interval - simplify by making it (0,1)) Coeficients (cn) are given by integral of f(x)e-2(pi)inx, where n ranges over all integers. The series terms are cne2(pi)nx
    Real Fourier series use sin and cos instead of exp function.
     
  2. jcsd
  3. Oct 12, 2004 #2
    can someone help me to explain the difference between Fourier Series, Fourier Transform and Laplace Transform

    -thanx
     
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