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 (${\displaystyle {\text{Fo))}$) (also known as the Fourier modulus), a ratio ${\displaystyle \alpha t/d^{2))$ of the rate of heat conduction ${\displaystyle \alpha t}$ to the rate of thermal energy storage ${\displaystyle d^{2))$
• Fourier optics
• Fourier-transform spectroscopy, a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source

Other

• Joseph Fourier University
• 10101 Fourier