Mathematics – Representation Theory
Scientific paper
2007-06-25
Mathematics
Representation Theory
Scientific paper
Formulae of Berezin and Karpelevic for the radial parts of invariant
differential operators and the spherical function on a complex Grassmann
manifold are generalized to the hypergeometric functions associated with root
system of type $BC_n$ under condition that the multiplicity of the middle roots
is zero or one.
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