KnowraHarmonic analysisLinked fromLinked fromThe 15 pages that link to Harmonic analysis, each with the reason it gives.All 15Related 3Narrower topic 12Fourier transformNarrower topic: The Fourier transform is one of harmonic analysis’s central tools.Pierre-Simon LaplaceRelated: Laplace’s work on potential theory connected physical problems to harmonic functions.Periodic functionNarrower topic: It provides the broader framework for decomposing periodic functions into modes.Norbert WienerRelated: Wiener’s work connected harmonic analysis with prediction, filtering, and signal transmission.Joseph FourierNarrower topic: Fourier’s decompositions of temperature helped launch this wider field.Fourier coefficientNarrower topic: Fourier coefficients are basic coordinates in this broader study of frequency structure.Trigonometric identityNarrower topic: Trigonometric identities support transformations among oscillatory representations.Terence TaoNarrower topic: It is a foundation for Tao’s work on dispersive equations and restriction theory.Fourier inversion theoremNarrower topic: Fourier inversion is a foundational theorem in this broader mathematical subject.Spectral analysisNarrower topic: It provides the broader mathematical framework behind frequency-based signal descriptions.Pontryagin dualityNarrower topic: Pontryagin duality generalizes Fourier analysis to locally compact abelian groups.Wiener–Khinchin theoremNarrower topic: The theorem applies Fourier analysis to statistical dependence rather than a single deterministic signal.Robert LanglandsRelated: Langlands drew on its representation-theoretic methods to connect automorphic forms with arithmetic.Steinhaus theoremNarrower topic: Translation continuity and convolution place the theorem within this broader analytical toolkit.Weyl's lemmaNarrower topic: Weyl's lemma sits within the broader study of Laplace equations and harmonic functions.