List of harmonic analysis topics
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This is a list of harmonic analysis topics. See also list of Fourier analysis topics and list of Fourier-related transforms, which are more directed towards the classical Fourier series and Fourier transform of mathematical analysis, mathematical physics and engineering.
[[Fourier analysis]]
=[[Fourier series]]=
- Periodic function
- Trigonometric function
- Trigonometric polynomial
- Exponential sum
- Dirichlet kernel
- Fejér kernel
- Gibbs phenomenon
- Parseval's identity
- Parseval's theorem
- Weyl differintegral
- Generalized Fourier series
- Orthogonal functions
- Orthogonal polynomials
- Empirical orthogonal functions
- Set of uniqueness
=[[Fourier transform]]=
[[Topological group]]s
[[Representation theory]]
{{main|List of representation theory topics}}
- Representation of a Lie group
- Unitary representation
- Irreducible representation
- Harish-Chandra character
- Restricted representation
- Induced representation
- Peter–Weyl theorem
- Spherical harmonic
- Casimir operator
- Hecke operator
- Stone–von Neumann theorem
- Discrete series representation
- Tempered representation
- Langlands program