English

Projections of orbital measures for classical Lie groups

Dynamical Systems 2017-03-02 v2 Classical Analysis and ODEs Representation Theory

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)SO(2n+1), Sp(2n) and O(2n)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.

Keywords

Cite

@article{arxiv.1612.07521,
  title  = {Projections of orbital measures for classical Lie groups},
  author = {Dmitry Zubov},
  journal= {arXiv preprint arXiv:1612.07521},
  year   = {2017}
}

Comments

ver.2 : some misprints in the references are fixed