In physics, engineering and mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function...

operations. The decomposition process itself is called a Fourier transformation. Its output, the Fourier transform, is often given a more specific name, which...

In a Fourier transformation (FT), the Fourier transformed function f ^ ( s ) {\displaystyle {\hat {f}}(s)} is obtained from f ( t ) {\displaystyle f(t)}...

A Fast Fourier Transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis...

computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform. The...

transforms, most notably the Fourier transform and the Mellin transform. Formally, the Laplace transform is converted into a Fourier transform by the substitution...

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...

Fourier-transform infrared spectroscopy (FTIR) is a technique used to obtain an infrared spectrum of absorption or emission of a solid, liquid, or gas...

the Fourier transformation is a recurring theme in abstract harmonic analysis (since it reflects the conservation of energy for the continuous Fourier Transform)...

periodicity. The classical Fourier transform on Rn is still an area of ongoing research, particularly concerning Fourier transformation on more general objects...