Fourier transform (redirected from Fourier integral)

Fourier transform

In mathematical analysis, an integral transform useful in solving certain types of partial differential equations. A function's Fourier transform is derived by integrating the product of the function and a kernel function (an exponential function raised to a negative complex power) over the interval from −∞ to +∞. The Fourier transform of a function g is given by . Such transforms, discovered by Joseph Fourier, are particularly useful in studying problems concerning electrical potential.

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(mathematics)

Fourier transform - A technique for expressing a waveform as a weighted sum of sines and cosines. Computers generally rely on the version known as discrete Fourier transform. Named after J. B. Joseph Fourier (1768 -- 1830). See also wavelet, discrete cosine transform.