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List of harmonic analysis topics 
Summary
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 edit
Fourier series edit
- Periodic function
- Trigonometric function
- Trigonometric polynomial
- Dirichlet kernel
- Fejér kernel
- Gibbs phenomenon
- Parseval's identity
- Parseval's theorem
- Weyl differintegral
- Generalized Fourier series
- Set of uniqueness
Fourier transform edit
Topological groups edit
Representation theory edit
- 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