Fourier Transform

I. The Fourier integral of a function f is the function F:

  1. ***.
  2. ***.
  3. ***.


II. F, expression of the Fourier transform, is perfectly defined when:

  1. ***.
  2. ***.
  3. ***.


III. If f is even:

  1. ***.
  2. ***.
  3. ***.


IV. If f is odd:

  1. ***.
  2. ***.
  3. ***.

Answers

Gérald JACQUEMIN et Rodérick PETETIN