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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 \( \alpha t/d^2 \) of the rate of heat conduction \( \alpha t \) to the rate of thermal energy storage \( d^{2} \)
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

See also

Fourier (disambiguation)
All pages with titles containing Fourier
List of Fourier-related transforms
List of Fourier analysis topics

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia

World

Index

Hellenica World - Scientific Library

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