Shintani Functions on 𝑆𝐿(3,𝐑)

We investigate the Shintani functions attached to the spherical and nonspherical principal series representations of 𝑆𝐿(3,𝐑). We give the explicit formulas of the radial part of Shintani functions and evaluate the dimension of the space of Shintani functions.

Bibliographic Details
Main Author: Keiju Sono
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/842806