TANIGUCHI Kenji    Department   Aoyama Gakuin University  Department of Mathematical Sciences, College of Science and Engineering    Position   Professor
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.