Linked from

The 41 pages that link to Fourier analysis, each with the reason it gives.

• Group velocityNarrower topic: Wave-packet motion follows from combining Fourier components with nearby wavenumbers.

• Dispersion relationNarrower topic: It supplies the frequency and wave-number components to which the relation applies.

• Joseph FourierNarrower topic: Fourier’s work on heat series helped establish this broad mathematical framework.

• Circle methodNarrower topic: Oscillation and cancellation in Fourier sums drive estimates on the arcs.

• Gibbs phenomenonNarrower topic: The Gibbs phenomenon emerged from attempts to understand convergence in Fourier analysis.

• Poisson summation formulaNarrower topic: The formula is a central bridge between spatial periodicity and frequency-space structure.

• Bessel's inequalityNarrower topic: Bessel’s inequality is a basic energy estimate across Fourier coefficients.

• Parseval's identityNarrower topic: Parseval's identity is a central norm relation within this broader theory.

• Parseval's theoremNarrower topic: Parseval’s theorem is a norm identity within this broader theory.

• Frequency mixerNarrower topic: It describes the new spectral components produced by mixing.

• Equidistribution theoremNarrower topic: Fourier approximation connects exponential averages to counts in intervals.

• Fejér's theoremNarrower topic: Fejér summation is a convergence and reconstruction tool within Fourier analysis.

• Peter–Weyl theoremNarrower topic: The theorem generalizes classical Fourier analysis beyond abelian groups.

• Dini testNarrower topic: The Dini test emerged from questions about convergence in this broader subject.