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.