Non-trivial 1d and 2d Segal-Bargmann transforms

被引：7
|
作者：
Benahmadi, Abdelhadi [1 ]
Ghanmi, Allal [1 ]
机构：
[1] Mohammed V Univ Rabat, Fac Sci, Dept Math, AGS LAMA,CeReMAR, POB 1014, Rabat, Morocco
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2019年 / 30卷 / 07期
关键词：
Univariate complex Hermite polynomials; generating function; Mehler's fomulas; magnetic Schrodinger operator; generalized Bargmann-Fock spaces; integral transform of Segal-Bargmann type; 2d-fractional Fourier transform;
D O I：
10.1080/10652469.2019.1593407
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Special generating functions and Mehler's formula for the univariate complex Hermite polynomials are obtained and next employed to introduce and study some one- and two-dimensional integral transforms of Segal-Bargmann type in the framework of some specific functional Hilbert spaces; including the so-called generalized Bargmann-Fock spaces that are realized as -eigenspaces of a special magnetic Schrodinger operator.
引用
收藏
页码：547 / 563
页数：17
相关论文
共 50 条
  • [1] Revisiting the 1D and 2D Laplace Transforms
    Ortigueira, Manuel Duarte
    Machado, Jose Tenreiro
    [J]. MATHEMATICS, 2020, 8 (08)
  • [2] A Schrodinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra D(2, 1; α)
    Barbier, Sigiswald
    Claerebout, Sam
    [J]. JOURNAL OF LIE THEORY, 2021, 31 (04) : 1153 - 1188
  • [3] Non-trivial d-wise intersecting families
    O'Neill, Jason
    Verstraete, Jacques
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2021, 178
  • [4] SCHATTEN p CLASS HANKEL OPERATORS ON THE SEGAL-BARGMANN SPACE H2(Cn,dμ) FOR 0 < p < 1
    Isralowitz, J.
    [J]. JOURNAL OF OPERATOR THEORY, 2011, 66 (01) : 145 - 160
  • [5] 1D Nanoribbons of 2D Materials
    Li, Xuan
    Huang, Jiongpeng
    Zhang, Yifan
    Shi, Lei
    [J]. PROGRESS IN CHEMISTRY, 2023, 35 (01) : 88 - 104
  • [6] 1D metals for 2D electronics
    Jolie, Wouter
    Michely, Thomas
    [J]. NATURE NANOTECHNOLOGY, 2024, 19 (07) : 883 - 884
  • [7] Classification of 1D and 2D Orbifolds
    Nilse, Lars
    [J]. SUSY06: The 14th International Conference on Supersymmetry and the Unification of Fundamental Interactions, 2007, 903 : 411 - 414
  • [8] Non-trivial θ-vacuum effects in the 2-d O(3) model
    M. Bögli
    F. Niedermayer
    M. Pepe
    U.-J. Wiese
    [J]. Journal of High Energy Physics, 2012
  • [9] Non-trivial θ-vacuum effects in the 2-d O(3) model
    Boegli, M.
    Niedermayer, F.
    Pepe, M.
    Wiese, U-J.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2012, (04):
  • [10] 1D/1D及1D/2D耦合水动力模型构建方法研究
    周倩倩
    苏炯恒
    梅胜
    许明华
    [J]. 水资源与水工程学报, 2019, (05) : 21 - 25
12345