Dimension formula of cusp form spaces on half-spaces of quaternions

被引：0
|
作者：
何峪
陆洪文
机构：
来源：
Science China Mathematics | 1999年 / 10期
关键词：
modular form; automorphic form; Selberg trace formula;
D O I：
暂无
中图分类号：
O186.1 [微分几何];
学科分类号：
0701 ; 070101 ;
摘要：
A dimension formula for the spaces of cusp forms defined on quaternionic half-spaces of degree two is obtained by Selberg trace formula, and the contributions of some conjugacy classes are calculated. Some results on the classification of the conjugacy classes of modular group are obtained.
引用
收藏
页码：1025 / 1031
页数：7
相关论文
共 50 条
  • [21] Almost Invariant Half-Spaces of Operators on Banach Spaces
    Androulakis, George
    Popov, Alexey I.
    Tcaciuc, Adi
    Troitsky, Vladimir G.
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2009, 65 (04) : 473 - 484
  • [22] Poisson kernels of half-spaces in real hyperbolic spaces
    Byczkowski, Tornasz
    Graczyk, Piotr
    Stos, Andrzej
    REVISTA MATEMATICA IBEROAMERICANA, 2007, 23 (01) : 85 - 126
  • [23] FEYNMAN-KAC FORMULA, λ-POISSON KERNELS AND λ-GREEN FUNCTIONS OF HALF-SPACES AND BALLS IN HYPERBOLIC SPACES
    Byczkowski, Tomasz
    Malecki, Jacek
    Zak, Tomasz
    COLLOQUIUM MATHEMATICUM, 2010, 118 (01) : 201 - 222
  • [24] HJB Equations and Stochastic Control on Half-Spaces of Hilbert Spaces
    Calvia, Alessandro
    Cappa, Gianluca
    Gozzi, Fausto
    Priola, Enrico
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2023, 198 (02) : 710 - 744
  • [25] Contractibility of half-spaces of partial convexity
    V. G. Naidenko
    Mathematical Notes, 2009, 85 : 868 - 876
  • [26] HJB Equations and Stochastic Control on Half-Spaces of Hilbert Spaces
    Alessandro Calvia
    Gianluca Cappa
    Fausto Gozzi
    Enrico Priola
    Journal of Optimization Theory and Applications, 2023, 198 : 710 - 744
  • [27] Some Hardy identities on half-spaces
    Duy, Nguyen Tuan
    Lam, Nguyen
    Phi, Le Long
    MATHEMATISCHE NACHRICHTEN, 2021, 294 (12) : 2317 - 2328
  • [28] Harmonic Bergman functions on half-spaces
    Ramey, WC
    Yi, HS
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (02) : 633 - 660
  • [29] On an external property of hamming half-spaces
    Burmashov, M.V., 1600,
  • [30] EXTRAPOLATED ENDPOINT FOR ADJACENT HALF-SPACES
    LEUTHAUS.KD
    ATOMKERNENERGIE, 1968, 13 (06): : 385 - &
12345