A few remarks on integral representation for zonal spherical functions on the symmetric space SU(N)/SO(N,R)
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math.MP
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functionsintegralrepresentationspacesphericalsymmetriczonalcase
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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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