Let be a continuous function and and be Fourier Transform pairs so that

(1) | |||

(2) |

Then

(3) |

For finite Fourier Transform pairs and ,

(4) |

If a function has a Fourier Series given by

(5) |

(6) |

(7) |

(8) |

(9) |

**References**

Gradshteyn, I. S. and Ryzhik, I. M. *Tables of Integrals, Series, and Products, 5th ed.* San Diego, CA:
Academic Press, p. 1101, 1979.

© 1996-9

1999-05-26