## Siegel-Whittaker Functions on $Sp(2,R)$ for Principal Series Representations

J. Math. Sci. Univ. Tokyo
Vol. 9 (2002), No. 2, Page 303--346.

Ishii, Taku
Siegel-Whittaker Functions on $Sp(2,R)$ for Principal Series Representations
We study a kind of generalized spherical functions on $Sp(2,\R)$ for principal series representations, which are related to archimedean theory of automorphic forms (Siegel wave forms). By solving some differential equations, we obtain explicit formulas for boundary values of these functions in terms of Meijer's $G$-functions.