Projections of orbital measures for classical Lie groups

Dmitry Zubov

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arXiv · 1612.07521

Projections of orbital measures for classical Lie groups

Dmitry Zubov

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Abstract

In this paper we compute the radial parts of projections of the orbital measures for the compact Lie groups $SO(2n+1), Sp(2n)$ and $O(2n)$, extending the previous results for the case of the unitary group by Olshanski and Faraut. The answer is given in terms of determinants of the B-splines with the knots arranged symmetrically about zero.

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Dmitry Zubov. 2016-12-22. Projections of orbital measures for classical Lie groups. https://arxiv.org/abs/1612.07521

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