Generalized Whittaker functions on GSp(2,R) associated with indefinite quadratic forms

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概要

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• We study the generalized Whittaker models for G = GSp(2,R) associated with indefinite binary quadratic forms when they arise from two standard representations of G: (i) a generalized principal series representation induced from the non-Siegel maximal parabolic subgroup and (ii) a (limit of) large discrete series representation. We prove the uniqueness of such models with moderate growth property. Moreover we express the values of the corresponding generalized Whittaker functions on a one-parameter subgroup of G in terms of the Meijer G-functions.

• 社団法人 日本数学会の論文

著者

• Moriyama Tomonori

  Department of Mathematics, Graduate School of Science, Osaka University

関連論文

• Generalized Whittaker functions on GSp(2,R) associated with indefinite quadratic forms

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