simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing...

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

is generally called Fourier analysis, although the term is sometimes used interchangeably with harmonic analysis. Harmonic analysis has become a vast subject...

A Fourier series (/ˈfʊrieɪ, -iər/) is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a...

In Fourier analysis, a multiplier operator is a type of linear operator, or transformation of functions. These operators act on a function by altering...

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

the theories of partial differential equations, quantum mechanics, Fourier analysis (which includes applications to signal processing and heat transfer)...

initiating the investigation of Fourier series, which eventually developed into Fourier analysis and harmonic analysis, and their applications to problems...

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 short-time Fourier transform (STFT) is a Fourier-related transform used to determine the sinusoidal frequency and phase content of local sections...