List of things named after Joseph Fourier

This is a list of things named after Joseph Fourier:

Mathematics

Analysis

  • Fourier analysis
  • Fourier 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

In physics and engineering

  • Fourier's law of heat conduction
  • Fourier number ( Fo {\displaystyle {\text{Fo}}} ) (also known as the Fourier modulus), a ratio α t / d 2 {\displaystyle \alpha t/d^{2}} of the rate of heat conduction α t {\displaystyle \alpha t} to the rate of thermal energy storage d 2 {\displaystyle d^{2}}
  • Fourier optics
  • Fourier-transform spectroscopy, a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source

Other

See also