Fourier transform


Fourier transform

noun

Definition of FOURIER TRANSFORM

:  any of various functions (as F(u)) that under suitable conditions can be obtained from given functions (as f(x)) by multiplying by eiux and integrating over all values of x and that in scientific instrumentation describe the dependence of the average of a series of measurements (as of a spectrum) on a quantity of interest (as brightness) especially of a very small magnitude —called also Fourier transformation

First Known Use of FOURIER TRANSFORM

1923

Fourier transform

noun    (Concise Encyclopedia)

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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