Discrete series Whittaker functions on $Spin(2n,2)$

zbMATH Open1408.22015arXiv1010.2875MaRDI QIDQ3466047

Kenji Taniguchi

Publication date: 29 January 2016

Abstract: Discrete series Whittaker functions on $Spin(2n,2)$ are studied. The dimensions of the space of both algebraic and continuous Whittaker models are explicitly determined. They are described by a sum of dimensions of irreducible representations of $Spin(2n-3,2)$. Also obtained are the Mellin-Barnes type integral formulas of the Whittaker functions associated with minimal $K$-type vectors.

Full work available at URL: https://arxiv.org/abs/1010.2875

zbMATH Keywords

confluent hypergeometric functionWhittaker modelinvariants of representationsMellin-Barnes integral representation

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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