Real Shintani Functions and Multiplicity Free Property for the Symmetric Pair $\bigl(SU(2,1), S(U(1,1) × U(1))\bigr)$

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概要

• 論文の詳細を見る

• We shall present an explicit formula of "generalized" spherical functions on $SU(2,1)$ with respect to its reductive spherical subgroup $S\bigl(U(1,1) × U(1)\bigr)$, which can be considered to be a real analogue of the Whittaker-Shintani functions introduced by Shintani and investigated by Murase and Sugano. At the same time, we shall prove a multiplicity one theorem for the corresponding space of intertwining operators.

• 東京大学の論文

著者

• Tsuzuki M

  Sophia Univ. Tokyo Jpn

• Tsuzuki Masao

  Sophia University

関連論文

• Real Shintani Functions on U(n,1) Ⅲ, Construction of Intertwining Operators
• Real Shintani Functions and Multiplicity Free Property for the Symmetric Pair $\bigl(SU(2,1), S(U(1,1) × U(1))\bigr)$

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