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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
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.