Matrix Coefficients with Minimal K-Types of the Spherical and Non-Spherical Principal Series Representations of SL(3, R)

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概要

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• We compute the holonomic system of rank 6 for the radial part of the matrix coefficients of spherical and non-spherical principal series representations of SL(3, R). We obtain six power series solutions corresponding to the set of six characteristic roots, and express the matrix coefficients by linear combinations of these power series. Among others, the c-functions of non-spherical principal series are obtained.

• 2012-06-20

著者

• 宗野 恵樹

  東京大学数理科学研究科

関連論文

• Higher moments of the Epstein zeta functions (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)
• Matrix Coefficients with Minimal K-Types of the Spherical and Non-Spherical Principal Series Representations of SL(3, R)

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