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 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 All pages with titles containing transform
External links Tables of Integral Transforms at EqWorld: The World of Mathematical Equations.