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Regular orbital measures on Lie algebras

Alex Wright — 2008

Colloquium Mathematicae

Let H₀ be a regular element of an irreducible Lie algebra , and let $μ_{H ₀}$ be the orbital measure supported on $O_{H ₀}$ . We show that $μ ̂_{H ₀}^{k} \in L ² ()$ if and only if k > dim /(dim - rank ).

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