Geodesic
Regular orbital measures on Lie algebras
Alex Wright1
1 Department of Pure Mathematics University of Waterloo Waterloo, ON, Canada N2L 3G1
Colloquium Mathematicum, Tome 113 (2008) no. 1, pp. 1-11

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

Let $H_0$ be a regular element of an irreducible Lie algebra ${\mathfrak g}$, and let $\mu_{H_0}$ be the orbital measure supported on $O_{H_0}$. We show that $\widehat{\mu}_{H_0}^k\in L^2({\mathfrak g})$ if and only if $k>\dim{\mathfrak g} / (\dim{\mathfrak g}-\mathop{\rm rank}{\mathfrak g})$.
DOI : 10.4064/cm113-1-1
Keywords: regular element irreducible lie algebra mathfrak orbital measure supported widehat mathfrak only dim mathfrak dim mathfrak mathop rank mathfrak

Alex Wright 1

1 Department of Pure Mathematics University of Waterloo Waterloo, ON, Canada N2L 3G1 
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Alex Wright. Regular orbital measures on Lie algebras. Colloquium Mathematicum, Tome 113 (2008) no. 1, pp. 1-11. doi: 10.4064/cm113-1-1

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