TANIGUCHI Kenji
Department Aoyama Gakuin University Department of Mathematical Sciences, College of Science and Engineering Position Professor |
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Language | English |
Publication Date | 2014/07 |
Type | Academic Journal |
Peer Review | Peer reviewed |
Title | Discrete Series Whittaker Functions on Spin(2n,2) |
Contribution Type | Single |
Volume, Issue, Page | pp.1-59 |
Details | Discrete series Whittaker functions on Spin(2n,2) are studied.
The main results are the dimensions of Whittaker models and the explicit formulas of Whittaker functions. The dimensions of the spaces of algebraic and continuous Whittaker models are described by sums of dimensions of irreducible representations of Spin(2n-3). As for the explicit formulas, we obtain Mellin-Barnes type integral representations for the Whittaker functions associated with minimal K-type vectors. |