The size of characters of compact Lie groups

• Autorzy: Kathryn E. Hare
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 43A80: Analysis on other specific Lie groups
• 43A65: Representations of groups, semigroups, etc.
• 22E46: Semisimple Lie groups and their representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 129
• Numer: 1
• Strony: 1-18

Daty

wydano

1998

otrzymano

1996-03-22

poprawiono

1997-08-11

Twórcy

autor

Kathryn E. Hare

• Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

Bibliografia

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