The Behavior of Laplace Transform of the Invariant Measure on the Hypersphere of High Dimension

A. Vershik

We consider the sequence of the hyperspheres $M_{n,r}$ i.e. the homogeneous transitive spaces - of the Cartan subgroup $SDiag(n,\mathbb{R})$ of the group $SL(n,\mathbb{R}),n=\mathrm{1...}$, and s…