Principal series Whittaker functions on Sp(2, C)

被引:2
|
作者
Miyazaki, Tadashi [1 ]
机构
[1] Rikkyo Univ, Dept Math, Toshima Ku, Tokyo 1718501, Japan
关键词
Whittaker functions; Automorphic forms; GENERIC CUSP FORMS; SPINOR L-FUNCTIONS; REPRESENTATION;
D O I
10.1016/j.jfa.2011.04.013
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we give explicit formulas of Whittaker functions for principal series representations of Sp(2, C). Moreover, we compute Novodvorsky's archimedean local zeta integrals using these formulas. (c) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:1083 / 1131
页数:49
相关论文
共 50 条
  • [21] Metaplectic Demazure Operators and Whittaker Functions
    Chinta, Gautam
    Gunnells, Paul E.
    Puskas, Anna
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2017, 66 (03) : 1045 - 1064
  • [22] Double SO(2,1)-Integrals and Formulas for Whittaker Functions
    Shilin, I. A.
    RUSSIAN MATHEMATICS, 2012, 56 (05) : 47 - 56
  • [23] THE RECIPROCAL OF THE BETA-FUNCTION AND GL(N,R) WHITTAKER FUNCTIONS
    STADE, E
    ANNALES DE L INSTITUT FOURIER, 1994, 44 (01) : 93 - 108
  • [24] EXPONENTIAL BOUNDS FOR THE LOGARITHMIC DERIVATIVE OF WHITTAKER FUNCTIONS
    Assefa, Genet M.
    Baricz, Arpad
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (11) : 4867 - 4880
  • [25] Spherical and Whittaker functions via DAHA II
    Ivan Cherednik
    Xiaoguang Ma
    Selecta Mathematica, 2013, 19 : 819 - 864
  • [26] Inverse Laplace transforms of products of Whittaker functions
    Beals, Richard
    Kannai, Yakar
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2008, 464 (2092): : 795 - 806
  • [27] On Iwahori-Whittaker functions for metaplectic groups
    Patnaik, Manish
    Puskas, Anna
    ADVANCES IN MATHEMATICS, 2017, 313 : 875 - 914
  • [28] New Asymptotics for the Zeros of Whittaker's Functions
    Bruno Gabutti
    Luigi Gatteschi
    Numerical Algorithms, 2001, 28 : 159 - 170
  • [29] Spherical and Whittaker functions via DAHA II
    Cherednik, Ivan
    Ma, Xiaoguang
    SELECTA MATHEMATICA-NEW SERIES, 2013, 19 (03): : 819 - 864
  • [30] Whittaker Functions on Orthogonal Groups of Odd Degree
    Ishii, Taku
    JOURNAL OF LIE THEORY, 2013, 23 (01) : 85 - 112