List of things named after Joseph Fourier
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 :
- **Discrete-time Fourier transform, the reverse of the Fourier series, a special case of the Z-transform around the unit circle in the complex plane
- **Discrete Fourier transform, occasionally called the finite Fourier transform, the Fourier transform of a discrete periodic sequence, which can also be thought of as the DTFT of a finite-length sequence evaluated at discrete frequencies
- **Fast Fourier transform, a fast algorithm for computing a Discrete Fourier transform
- **Finite Fourier transform
- **Fractional Fourier transform, 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, a ratio of the rate of heat conduction to the rate of thermal energy storage
- Fourier optics
- Fourier-transform spectroscopy, a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source