Category:Fourier analysis

• Fourier analysis
• List of Fourier analysis topics
• List of Fourier-related transforms

A

• Algebraic analysis
• Almost periodic function
• Analytic signal
• Autocovariance

B

• Banach algebra
• Basis function
• Beevers–Lipson strip
• Bessel function
• Bicoherence
• Bilinear time–frequency distribution
• Bispectrum
• Bloch wave – MoM method
• Bragg plane

C

• Cagniard–de Hoop method
• Chirplet transform
• Compact group
• Conjugate Fourier series
• Convolution
• Convolution power
• List of cycles

D

• DFT matrix
• Dirac delta function
• Dirichlet problem
• Discrete cosine transform
• Discrete Fourier series
• Discrete Fourier transform
• Discrete Fourier transform (general)
• Discrete Hartley transform
• Discrete sine transform
• Discrete-time Fourier transform

E

• Ewald summation

F

• Fast Fourier Transform Telescope
• Finite Fourier transform
• Fourier integral operator
• Fourier operator
• Fourier optics
• Fourier transform
• Fourier transform on finite groups
• Fourier–Bros–Iagolnitzer transform
• Fourier-transform spectroscopy
• Fractional Fourier transform
• Fractional wavelet transform
• Fraunhofer diffraction equation
• Frequency selective surface
• Friedel's law

G

• Gabor atom
• Generalized Fourier series

H

• Hartley transform
• Hausdorff–Young inequality
• Homogeneous distribution

I

• Indirect Fourier transform
• Instantaneous phase and frequency
• Interpolation space

L

• Laplace operator
• Laplace transform
• Laplace's equation
• Laplace–Carson transform
• Linear canonical transformation
• Littlewood–Paley theory

M

• Marcinkiewicz interpolation theorem
• Metaplectic group
• Microlocal analysis
• Modified discrete cosine transform
• Modulated complex lapped transform
• Modulus of continuity
• Motions in the time-frequency distribution
• Multidimensional transform
• Multiplier (Fourier analysis)

N

• Non-uniform discrete Fourier transform

O

• Optical correlator
• Orthonormal basis
• Oscillatory integral operator
• Overlap–add method
• Overlap–save method

P

• Parametrix
• Periodic function
• Periodogram
• Photon Doppler velocimetry
• Planar Fourier capture array
• Poisson kernel
• Poisson summation formula
• Pontryagin duality

R

• Reciprocal lattice
• Rectangular mask short-time Fourier transform
• Regressive discrete Fourier series

S

• S transform
• S-plane
• SAMV (algorithm)
• Schwartz space
• Set of uniqueness
• Shapiro polynomials
• Short-time Fourier transform
• SigSpec
• Sine and cosine transforms
• Single-shot multi-contrast X-ray imaging
• Sobolev space
• Solid harmonics
• Sparse Fourier transform
• Spectral concentration problem
• Spectral density
• Spectral envelope
• Spectral leakage
• Spectrum continuation analysis
• Spherical harmonics
• Spin-weighted spherical harmonics
• Stationary-wave integrated Fourier transform spectrometry
• Stationary-wave integrated Fourier-transform spectrometry
• Superoscillation

T

• Topological group
• Trigonometric polynomial
• Triple correlation
• Tube domain

U

• Unit circle
• Unit impulse

V

• Van der Corput lemma (harmonic analysis)
• Von Neumann stability analysis

W

• Whittaker–Shannon interpolation formula
• Window function
• Wirtinger's inequality for functions