CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 62(3) 563-581 2010年6月 [査読有り]
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.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 360(11) 5683-5709 2008年 [査読有り]
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...
Miki Hirano   Taku Ishii   Takayuki Oda   
ADVANCES IN MATHEMATICS 215(2) 734-765 2007年11月 [査読有り]
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.
JOURNAL OF FUNCTIONAL ANALYSIS 244(1) 289-314 2007年3月 [査読有り]
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...