of continuous arguments, Fourier-related transforms include: Two-sided Laplace transform Mellin transform, another closely related integral transform...

diffusion). The Fourier transform of a Gaussian function is another Gaussian function. Joseph Fourier introduced sine and cosine transforms (which correspond...

harmonic analysis. Each transform used for analysis (see list of Fourier-related transforms) has a corresponding inverse transform that can be used for synthesis...

series List of Fourier-related transforms Fourier transform on finite groups Fractional Fourier transform Continuous Fourier transform Fourier operator...

matrix Fast Fourier transform FFTPACK FFTW Generalizations of Pauli matrices Least-squares spectral analysis List of Fourier-related transforms Multidimensional...

In mathematics, the Fourier sine and cosine transforms are integral equations that decompose arbitrary functions into a sum of sine waves representing...

number. It is related to many other transforms, most notably the Fourier transform and the Mellin transform. Formally, the Laplace transform is converted...

This is a list of harmonic analysis topics. See also list of Fourier analysis topics and list of Fourier-related transforms, which are more directed towards...

Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). A Fourier transform converts...

list of transforms in mathematics. Abel transform Aboodh transform Bateman transform Fourier transform Short-time Fourier transform Gabor transform Hankel...

the Fourier series are an example of an orthonormal basis. As an example of an application of integral transforms, consider the Laplace transform. This...

source List of Fourier-related transforms, a list of linear transformations of functions related to Fourier analysis Fourier (crater) Fourier (company)...

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...

space of holomorphic functions. List of transforms List of Fourier-related transforms Transfer operator Fredholm operator Borel transform Glossary of mathematical...

using multidimensional Laplace transforms. Discrete cosine transform List of Fourier-related transforms List of Fourier analysis topics Multidimensional...

Liouville–Neumann series See also list of transforms, list of Fourier-related transforms Kernel (integral operator) Convolution Radon transform Buffon's needle Hadwiger's...

series and Fourier transforms List of Fourier analysis topics List of Fourier-related transforms Complex analysis – studies the extension of real analysis...

Chebyshev polynomials Discrete cosine transform Discrete Fourier transform List of Fourier-related transforms Trefethen, Lloyd (2013). Approximation...

List of Fourier-related transforms List of mathematical functions List of knots List of mathematical knots and links List of manifolds List of mathematical...

other related transforms. The Fourier-related transforms that operate on a function over a finite domain, such as the DFT or DCT or a Fourier series...

simple groups List of Fourier-related transforms List of manifolds List of mathematical constants List of mathematical functions List of mathematical knots...

a list of Laplace transforms for many common functions of a single variable. The Laplace transform is an integral transform that takes a function of a...

vibrations. The Fourier transform and Fourier's law of conduction are also named in his honour. Fourier is also generally credited with the discovery of the greenhouse...

semantic analysis Latent semantic indexing Linear least squares List of Fourier-related transforms Locality-sensitive hashing Low-rank approximation Matrix decomposition...

continuous-time Fourier transform is evaluated on the s-domain's vertical axis (the imaginary axis), the discrete-time Fourier transform is evaluated along...

Laplace transforms are closely related to the Fourier transform, the Mellin transform, the Z-transform and the ordinary or one-sided Laplace transform. If...

Laplace–Fourier series, see Laplace series Fourier–Legendre series Fourier transform (List of Fourier-related transforms): Discrete-time Fourier transform (DTFT)...

the Laplace transform and the Fourier transform, and the theory of the gamma function and allied special functions. The Mellin transform of a complex-valued...

radio – Forward error correction – Fourier series – Fourier transform (see also List of Fourier-related transforms) – Four-wire circuit – Four-wire terminating...

groups, a version of the convolution theorem holds: the Fourier transform of a convolution is the pointwise product of the Fourier transforms. The circle group...