石井 卓

We give explicit formulas for Whittaker functions on real semisimple Lie groups of real rank two belonging to the class one principal series representations. By using these formulas we compute certain archimedean zeta integrals.

Let G = GSp( 2) be the symplectic group with similitude of degree two, which is defined over Q. For a generic cusp form F on the adelized group G(A) whose archimedean type is a principal series representation, we show that its spinor L-function is...

In this paper, we give explicit formulas for the secondary and the primary Whittaker functions for P-J-principal series representations of Sp(3, R). (c) 2007 Elsevier Inc. All fights reserved.

We derive new recursive formulas for principal series Whittaker functions, of both fundamental and class one type, on GL(n, R). These formulas relate such Whittaker functions to their counterparts on GL(n - 1, R), instead of on GL(n - 2, R) as has...