2024-03-29T00:52:27Z
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2022-12-19T04:13:23Z
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Matrix Coefficients with Minimal K-Types of the Spherical and Non-Spherical Principal Series Representations of SL(3, R)
Sono, Keiju
92469
415
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.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2012-06-20
application/pdf
Journal of mathematical sciences, the University of Tokyo
1
19
1
55
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/40026/files/jms190101.pdf
eng