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 物理・数理学科
   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 査読有り
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.