Discrete Series Whittaker Functions of $SU(n, 1)$ and $Spin(2n, 1)$

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概要

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• The Mellin transform of Whittaker functions gives the archimedean factor of the automorphic $L$-functions. Hence it is very important to obtain explicit formulae of Whittaker functions. In this paper, we obtain explicit formulae of discrete series Whittaker functions of $SU(n, 1)$ and $Spin(2n, 1)$ $(n\geq2)$.

• 東京大学の論文

著者

• TANIGUCHI Kenji

  Graduate School of Engineering, Osaka University

• Taniguchi Kenji

  Graduate School Of Mathematical Sciences University Of Tokyo

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