Journal of Lie Theory

no. 1
Whittaker Functions on Orthogonal Groups of Odd Degree
Journal of Lie Theory, Volume 23 (2013) no. 1, pp. 85-112
\def\R{{\Bbb R}} 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.
DOI: 10.5802/jolt.716
Classification: 22E30, 33C80
Keywords: Whittaker functions, principal series representations 
@article{JOLT_2013_23_1_a3,
     author = {T. Ishii},
     title = {Whittaker {Functions} on {Orthogonal} {Groups} of {Odd} {Degree}},
     journal = {Journal of Lie Theory},
     pages = {85--112},
     year = {2013},
     volume = {23},
     number = {1},
     doi = {10.5802/jolt.716},
     zbl = {1267.22005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.716/}
}
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%J Journal of Lie Theory
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T. Ishii. Whittaker Functions on Orthogonal Groups of Odd Degree. Journal of Lie Theory, Volume 23 (2013) no. 1, pp. 85-112. doi: 10.5802/jolt.716

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