Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 23 (2013), No. 1, 085--112Copyright Heldermann Verlag 2013 Whittaker Functions on Orthogonal Groups of Odd Degree Taku Ishii Faculty of Science and Technology, Seikei University, 3-3-1 Kichijoji-Kitamachi, Musashino, Tokyo 180-8633, Japan ishii@st.seikei.ac.jp [Abstract-pdf] \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. Keywords: Whittaker functions, principal series representations. MSC: 22E30, 33C80 [ Fulltext-pdf  (372  KB)] for subscribers only.