タニグチ　ケンジ   TANIGUCHI Kenji   谷口　健二    所属   青山学院大学  理工学部 数理サイエンス学科    職種   教授
言語種別	英語
発行・発表の年月	2014/07
形態種別	学術雑誌
査読	査読あり
標題	Discrete Series Whittaker Functions on Spin(2n,2)
執筆形態	単独
巻・号・頁	pp.1-59
概要	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.