This is a list of transformss in mathematics.

Integral transforms

• Abel transform

• Aboodh transform

• Bateman transform

Fourier transform

• Fourier cosine transform

• Fourier sine transform

• Fractional Fourier transform

Short-time Fourier transform

• Rectangular mask short-time Fourier transform

• Fourier–Bros–Iagolnitzer 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

Radon transform

• X-ray transform

• Shehu transform

• Stieltjes transformation

• Wavelet transform (integral)

• Weierstrass 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

• Irrational base discrete weighted transform

• Mojette transform

• Number-theoretic transform

• Spherical Harmonic 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)

See also

• Linear transform

• List of Fourier-related transforms

• Sequence transformation

• Transform coding

External links

• Tables of Integral Transforms at EqWorld: The World of Mathematical Equations.