Harish-Chandra's regularity theorem
id:
harish-chandra-s-regularity-theorem-311-14956868
title:
Harish-Chandra's regularity theorem
text:
In mathematics, Harish-Chandra's regularity theorem, introduced by Harish-Chandra (1963), 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. Harish-Chandra (1978, 1999) proved a similar theorem for semisimple p-adic groups. Harish-Chandra (1955, 1956) had previously shown that any invariant eigendistribution is analytic on the regular ele
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https://en.wikipedia.org/wiki/Harish-Chandra%27s_regularity_theorem
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date modified:
2023-06-05T16:46:38Z
main entity:
{"identifier":"Q5657833","url":"https://www.wikidata.org/entity/Q5657833"}
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