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
- transform (integral 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
- 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
- *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:Data-dependent transforms
Other transforms
- Affine transformation
- Bäcklund transform
- Bilinear transform
- Box–Muller transform
- Burrows–Wheeler transform
- Chirplet transform
- Distance transform
- Fractal transform
- Gelfand transform
- Hadamard transform
- Hough transform
- Inverse scattering transform
- Legendre transformation
- Möbius transformation
- Perspective transform
- Sequence transform
- Watershed transform
- Wavelet transform
- Y-Δ transform