List of things named after Joseph Fourier explained

This is a list of things named after Joseph Fourier:

Mathematics

Budan–Fourier theorem, see Budan's theorem
Fourier's theorem
Fourier–Motzkin elimination
- Fourier algebra Fourier division
Fourier method

Analysis

Fourier analysis
Fourier series
- Fourier–Bessel series
- Fourier sine and cosine series
- Generalized Fourier series
- Laplace–Fourier series, see Laplace series
- Fourier–Legendre series
Fourier transform (List of Fourier-related transforms):
- - Discrete-time Fourier transform (DTFT), the reverse of the Fourier series, a special case of the Z-transform around the unit circle in the complex plane
  - Discrete Fourier transform (DFT), occasionally called the finite Fourier transform, the Fourier transform of a discrete periodic sequence (yielding discrete periodic frequencies), which can also be thought of as the DTFT of a finite-length sequence evaluated at discrete frequencies
  - Fast Fourier transform (FFT), a fast algorithm for computing a Discrete Fourier transform
  - Finite Fourier transform
  - Fractional Fourier transform (FRFT), a linear transformation generalizing the Fourier transform, used in the area of harmonic analysis
    - Fourier–Deligne transform Fourier–Mukai transform
Fourier inversion theorem
- Fourier integral theorem

In physics and engineering

Fourier's law of heat conduction
Fourier number (

Fo

) (also known as the Fourier modulus), a ratio

\alphat/d²

of the rate of heat conduction

\alphat

to the rate of thermal energy storage

d²

Fourier optics
Fourier-transform spectroscopy, a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source

Other

- Joseph Fourier University 10101 Fourier

See also