List of transforms

This is a list of transforms in mathematics.

Integral transforms

 * Abel transform
 * Aboodh transform
 * Bateman transform
 * Fourier transform
 * Short-time Fourier transform
 * Gabor transform
 * Hankel transform
 * Hartley transform
 * Hermite transform
 * Hilbert transform
 * Hilbert–Schmidt integral operator
 * Jacobi transform
 * Laguerre transform
 * Laplace transform
 * Inverse Laplace transform
 * Two-sided Laplace transform
 * Inverse two-sided Laplace transform
 * Laplace–Carson transform
 * Laplace–Stieltjes transform
 * Legendre transform
 * Linear canonical transform
 * Mellin transform
 * Inverse Mellin transform
 * Poisson–Mellin–Newton cycle
 * N-transform
 * Radon transform
 * Stieltjes transformation
 * Sumudu transform
 * Wavelet transform (integral)
 * Weierstrass transform
 * Hussein Jassim Transform
 * Hussein Jassim Transform

Discrete transforms

 * Binomial transform
 * Discrete Fourier transform, DFT
 * Fast Fourier transform, a popular implementation of the DFT
 * Discrete cosine transform
 * Modified discrete cosine transform
 * Discrete Hartley transform
 * Discrete sine transform
 * Discrete wavelet transform
 * Hadamard transform (or, Walsh–Hadamard transform)
 * Fast wavelet transform
 * Hankel transform, the determinant of the Hankel matrix
 * Discrete Chebyshev transform
 * Equivalent, up to a diagonal scaling, to a discrete cosine transform
 * Finite Legendre transform
 * Spherical Harmonic transform
 * Irrational base discrete weighted transform
 * Number-theoretic transform
 * Stirling transform

Discrete-time transforms
These transforms have a continuous frequency domain:
 * Discrete-time Fourier transform
 * Z-transform

Data-dependent transforms

 * Karhunen–Loève transform

Other transforms

 * Affine transformation (Euclidean geometry)
 * Bäcklund transform
 * Bilinear transform
 * Box–Muller transform
 * Burrows–Wheeler transform (data compression)
 * Chirplet transform
 * Distance transform
 * Fractal transform
 * Gelfand transform
 * Hadamard transform
 * Hough transform (digital image processing)
 * Inverse scattering transform
 * Legendre transformation
 * Möbius transformation
 * Perspective transform (computer graphics)
 * Sequence transform
 * Watershed transform (digital image processing)
 * Wavelet transform (orthonormal)
 * Y-Δ transform (electrical circuits)