Category:Fourier analysis

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

A

• Algebraic analysis
• Analytic signal
• Autocovariance

B

• Banach algebra
• Basis function
• Bessel function
• Bicoherence
• Bilinear time–frequency distribution
• Bispectrum
• Bragg plane

C

• Cagniard–de Hoop method
• Chirplet transform
• Compact group
• Conjugate Fourier series
• Convolution
• 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

• FBI transform
• Fourier operator
• Fourier optics
• Fourier transform
• Fourier transform on finite groups
• Fourier transform spectroscopy
• Fractional Fourier transform
• Fundamental frequency

G

• Gabor atom
• Generalized Fourier series

H

• Hartley transform
• Homogeneous distribution

I

• Indirect Fourier transform
• Instantaneous phase
• 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
• Modulus of continuity
• Multiplier (Fourier analysis)

O

• Orthonormal basis
• Oscillatory integral operator
• Overlap–save method

P

• Parametrix
• Periodic function
• Poisson summation formula

R

• Reciprocal lattice

S

• S transform
• S-plane
• Schwartz space
• Set of uniqueness
• Short-time Fourier transform
• SigSpec
• Sine and cosine transforms
• Sobolev space
• Spectral density
• Spectral envelope
• Spectral leakage
• Spectrum continuation analysis
• Spherical harmonics
• Spin-weighted spherical harmonics

T

• Topological group
• Trigonometric polynomial

U

• Unit circle
• Unit impulse

V

• Van der Corput lemma (harmonic analysis)

W

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