English

A few remarks on integral representation for zonal spherical functions on the symmetric space $SU(N)/SO(N,\R)$

Mathematical Physics 2009-10-30 v1 math.MP

Abstract

The integral representation on the orthogonal groups for zonal spherical functions on the symmetric space SU(N)/SO(N,R)SU(N)/SO(N,\R) is used to obtain a generating function for such functions. For the case N=3 the three-dimensional integral representation reduces to a one-dimensional one.

Keywords

Cite

@article{arxiv.physics/9708036,
  title  = {A few remarks on integral representation for zonal spherical functions on the symmetric space $SU(N)/SO(N,\R)$},
  author = {J. F. Cariñena and A. M. Perelomov},
  journal= {arXiv preprint arXiv:physics/9708036},
  year   = {2009}
}

Comments

Latex file, 10 pages, amssymb.sty required