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Results tagged with harmonic-analysis
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user 9962
Harmonic analysis is a generalisation of Fourier analysis that studies the properties of functions. Check out this tag for abstract harmonic analysis (on abelian locally compact groups), or Euclidean harmonic analysis (eg, Littlewood-Paley theory, singular integrals). It also covers harmonic analysis on tube domains, as well as the study of eigenvalues and eigenvectors of the Laplacian on domains, manifolds and graphs.
3
votes
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Plancherel formula for special linear group
Knapp's book Representation theory of semisimple groups : an overview based on examples has a chapter on various versions of the Plancherel theorem. It is also done (very carefully, with all the detai …
- 741
3
votes
Accepted
Decomposing an arbitrary unitary representation of a connected nilpotent Lie group in terms ...
First some bad news : such a decomposition only exists for groups which are said to be of Type I (some notion coming from the theory of von Neumann algebras). There are examples of topological groups …
- 741
3
votes
6
answers
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views
Reference for complex analysis jargon
I am not a (complex) analyst but it seems that some of the questions I am working on are related to the following concepts:
logarithmic capacity
transfinite diameter
Green's function of a compact …
- 741