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- Thread starter zheng89120
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Mute

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Note that you do not even have to use the same sign convention in multidimensional fourier transforms. e.g., one could write

[tex]F(k_x,k_y,k_z,\omega) = \int_{-\infty}^\infty dx~dy~dz~dt~e^{i(k_x x + k_y y + k_z z - \omega t)} f(x,y,z,t)[/tex]

Some places adopt this sign convention so that it follows the sign convention of the minkowski metric in special relativity.

The point is the sign is up to you to choose, but the inverse transform has to have the opposite sign.

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Ditto about the [itex]2\pi[/itex] 's.

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