List of Fourier analysis topics
This is a list of Fourier analysis topics.
[Fourier analysis]
[Fourier series]
- Generalized Fourier series
- Regressive discrete Fourier series
- Gibbs phenomenon
- Sigma approximation
- Dini test
- Poisson summation formula
- Spectrum continuation analysis
- Convergence of Fourier series
- Half-range Fourier series
[Fourier transform]s
- List of Fourier-related transforms
- Fourier transform on finite groups
- Fractional Fourier transform
- Continuous Fourier transform
- Fourier operator
- Fourier inversion theorem
- Sine and cosine transforms
- Parseval's theorem
- Paley–Wiener theorem
- Projection-slice theorem
- Frequency spectrum
[Discrete Fourier transform]s
- Discrete Fourier series
- Non-uniform discrete Fourier transform
- DFT matrix
- Entropy influence conjecture
- Fast cosine transform
- Fast Fourier transform
- Cyclotomic fast Fourier transform
- Sparse Fourier transform
Applications of Fourier analysis
- Fourier amplitude sensitivity testing
- Fourier optics
- Quantum mechanics, for
- *Wavefunctions
- *Uncertainty principle
- *Quantum Fourier transform
[Algebra] and analysis">mathematical analysis">analysis
- Periodic function
- Almost periodic function
- ATS theorem
- Modulus of continuity
- Banach algebra
- Compact group
- Haar measure
- Hardy space
- Sobolev space
- Topological group
[Harmonic analysis]
- Set of uniqueness
- Pontryagin duality
- Plancherel theorem
- Peter–Weyl theorem
- Fourier integral operator
- Oscillatory integral operator