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

Physics – Mathematical Physics

Scientific paper

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Latex file, 10 pages, amssymb.sty required

Scientific paper

10.1088/0305-4470/30/15/003

The integral representation on the orthogonal groups for zonal spherical
functions on the symmetric space $SU(N)/SO(N,\R)$ 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.

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