Geodesic
Whittaker Functions on Orthogonal Groups of Odd Degree
Journal of Lie theory, Tome 23 (2013) no. 1, pp. 85-112.

Voir la notice de l'article provenant de la source Heldermann Verlag

\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.
Classification : 22E30, 33C80
Mots-clés : Whittaker functions, principal series representations 
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     author = {T. Ishii },
     title = {Whittaker {Functions} on {Orthogonal} {Groups} of {Odd} {Degree}},
     journal = {Journal of Lie theory},
     pages = {85--112},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a3/}
}
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T. Ishii . Whittaker Functions on Orthogonal Groups of Odd Degree. Journal of Lie theory, Tome 23 (2013) no. 1, pp. 85-112. http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a3/