Whittaker functions on orthogonal groups of odd degree

Details Whittaker functions on orthogonal groups of odd degree Whittaker functions on orthogonal groups of odd degree

2011-02-11

arxiv.org/abs/1102.2458v1

Mathematics

Number Theory

Scientific paper

We give explicit formulas for Whittaker functions for the class one principal
series representations of the orthogonal groups $ SO_{2n+1}(\R) $ of odd
degree. Our formulas are similar to the recursive formulas for Whittaker
functions on $SL_n(\R)$ given by Stade and the author \cite{ISt}. Some parts of
our results are announced in \cite{I3}.

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