The size of characters of compact Lie groups

Hare, Kathryn

Hare, Kathryn

Studia Mathematica, Tome 129 (1998), p. 1-18 / Harvested from The Polish Digital Mathematics Library

Résumé

Pointwise upper bounds for characters of compact, connected, simple Lie groups are obtained which enable one to prove that if μ is any central, continuous measure and n exceeds half the dimension of the Lie group, then $μ^{n} \in L^{1}$ . When μ is a continuous, orbital measure then $μ^{n}$ is seen to belong to $L^{2}$ . Lower bounds on the p-norms of characters are also obtained, and are used to show that, as in the abelian case, m-fold products of Sidon sets are not p-Sidon if p < 2m/(m+1).

Publié le : 1998-01-01

Zbl 0946.43006

EUDML-ID : urn:eudml:doc:216489

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     author = {Kathryn Hare},
     title = {The size of characters of compact Lie groups},
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     volume = {129},
     year = {1998},
     pages = {1-18},
     zbl = {0946.43006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv129i1p1bwm}
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Hare, Kathryn. The size of characters of compact Lie groups. Studia Mathematica, Tome 129 (1998) pp. 1-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv129i1p1bwm/

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