List of transforms

This is a list of transforms in mathematics.

Integral transforms

• Abel transform
• Bateman transform
• Bracewell transform
• Fourier transform
  • Short-time Fourier transform
• Hankel transform
• Hartley transform
• Hilbert transform
  • Hilbert–Schmidt integral operator
• Laplace transform
  • Inverse Laplace transform
  • Two-sided Laplace transform
  • Inverse two-sided Laplace transform
• Laplace–Carson transform
• Laplace–Stieltjes transform
• Linear canonical transform
• Mellin transform
  • Inverse Mellin transform
  • Poisson–Mellin–Newton cycle
• Radon transform
• Stieltjes transformation
• Sumudu transform
• Wavelet 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
  • Fast wavelet transform
• Hankel transform, the determinant of the Hankel matrix.
• Irrational base discrete weighted transform
• Number-theoretic 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

• Bäcklund transform
• Bilinear transform
• Box–Muller transform
• Burrows–Wheeler transform (data compression)
• Wavelet transform
• Chirplet transform
• Distance transform
• Fractal transform
• Hadamard transform
• Hough transform (digital image processing)
• Legendre transform
• Möbius transform
• Perspective transform (computer graphics)
• Y-delta transform (electrical circuits)

General

• See also: List of Fourier-related transforms
• Transform coding

External links

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