In mathematics, an integral transform is a type of transform that maps a function from its original function space into another function space via integration...

In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input then outputs another function that describes the extent...

In mathematics, Legendre transform is an integral transform named after the mathematician Adrien-Marie Legendre, which uses Legendre polynomials P n (...

In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable...

An integral formula for the inverse Laplace transform, called the Mellin's inverse formula, the Bromwich integral, or the Fourier–Mellin integral, is...

of the scaling factor k constitutes the transformed function. The Hankel transform is an integral transform and was first developed by the mathematician...

In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional)...

In mathematics and signal processing, the Hilbert transform is a specific singular integral that takes a function, u(t) of a real variable and produces...

In probability theory, the probability integral transform (also known as universality of the uniform) relates to the result that data values that are modeled...

Integral theory as developed by Ken Wilber is a synthetic metatheory aiming to unify a broad spectrum of Western theories and models and Eastern meditative...

Hankel transform Hartley transform Hermite transform Hilbert transform Hilbert–Schmidt integral operator Jacobi transform Laguerre transform Laplace...

Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, or the Smirnov...

Fourier transform is also integrable. The most common statement of the Fourier inversion theorem is to state the inverse transform as an integral. For any...

mathematics, the Shehu transform is an integral transform which generalizes both the Laplace transform and the Sumudu integral transform. It was introduced...

In mathematics, the two-sided Laplace transform or bilateral Laplace transform is an integral transform equivalent to probability's moment-generating...

Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is...

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

delta function Distribution Oscillatory integral Laplace transform Discrete Hartley transform List of transforms Dirichlet kernel Fejér kernel Convolution...

Laplace–Stieltjes transform, named for Pierre-Simon Laplace and Thomas Joannes Stieltjes, is an integral transform similar to the Laplace transform. For real-valued...

In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or axially...

be determined in several ways: the Laplace transform, double integration, differentiating under the integral sign, contour integration, and the Dirichlet...

mathematical definition of an orthonormal wavelet and of the integral wavelet transform. A function ψ ∈ L 2 ( R ) {\displaystyle \psi \,\in \,L^{2}(\mathbb...

common ways of calculating definite integrals; for instance, Parseval's identity can be used to transform an integral over a rectangular region into an...

higher dimensions, one may find characteristic surfaces. An integral transform may transform the PDE to a simpler one, in particular, a separable PDE. This...

Gaussian will have a total integral of 1, with the consequence that constant functions are not changed by the Weierstrass transform. Instead of F ( x ) {\displaystyle...

transformations often take the form of integral transforms such as the Radon transform and its generalizations. Integral geometry as such first emerged as...

latter integral is preferred over the former. On locally compact abelian groups, a version of the convolution theorem holds: the Fourier transform of a...

Fourier transform (FRFT) is a family of linear transformations generalizing the Fourier transform. It can be thought of as the Fourier transform to the...

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

mathematics, the Hartley transform (HT) is an integral transform closely related to the Fourier transform (FT), but which transforms real-valued functions...