Geodesic
The size of characters of compact Lie groups
Studia Mathematica, Tome 129 (1998) no. 1, pp. 1-18

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $μ^n ∈ L^1$. 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).
DOI : 10.4064/sm-129-1-1-18

Kathryn E. Hare 1

1 
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Kathryn E. Hare. The size of characters of compact Lie groups. Studia Mathematica, Tome 129 (1998) no. 1, pp. 1-18. doi: 10.4064/sm-129-1-1-18

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