List of transforms

This is a list of transforms 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
• Associated Legendre transform
• Linear canonical transform
• Mellin transform
• Inverse Mellin transform
• Poisson–Mellin–Newton cycle
• N-transform
• Radon transform
• X-ray transform
• Shehu transform
• Stieltjes transformation
• Sumudu transform
• 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.