Harish-Chandra theorem
Encyclopedia
In matheamtics, Harish-Chandra theorem may refer to one of several theorems due to Harish-Chandra
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including:
Harish-Chandra
Harish-Chandra was an Indian mathematician, who did fundamental work in representation theory, especially Harmonic analysis on semisimple Lie groups. -Life:...
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including:
- Harish-Chandra's theorem on the Harish-Chandra isomorphism
- Harish-Chandra's classification of discrete series representationDiscrete series representationIn mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation of the left regular representation of G on L²...
s - Harish-Chandra's regularity theoremHarish-Chandra's regularity theoremIn mathematics, Harish-Chandra's regularity theorem, introduced by , states that every invariant eigendistribution on a semisimple Lie group, and in particular every character of an irreducible unitary representation on a Hilbert space, is given by a locally integrable function...