A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems

Details A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems

2008-12-19

arxiv.org/abs/0812.3773v1

Mathematics

Representation Theory

12pages

Scientific paper

We prove that the radial part of the class one Whittaker function on a split
semisimple Lie group can be obtained as an appropriate limit of the
Heckman-Opdam hypergeometric function.

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