An infinite-dimensional integral identity for the Segal-Bargmann transform

被引：3
|
作者：
Becnel, Jeremy J. [1 ]
Sengupta, Ambar N.
机构：
[1] Stephen F Austin State Univ, Dept Math & Stat, Nacogdoches, TX 75962 USA
[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 09期
关键词：
D O I：
10.1090/S0002-9939-07-08995-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove an infinite-dimensional integral identity equating the integral of a function on a subspace of a linear space to the integral of its Segal-Bargmann transform over the orthogonal complement.
引用
收藏
页码：2995 / 3003
页数：9
相关论文
共 50 条
  • [41] Segal-Bargmann transform and Paley-Wiener theorems on M(2)
    E. K. Narayanan
    Suparna Sen
    Proceedings - Mathematical Sciences, 2010, 120 : 169 - 183
  • [42] AN APPLICATION OF THE SEGAL-BARGMANN TRANSFORM TO THE CHARACTERIZATION OF LEVY WHITE NOISE MEASURES
    Lee, Yuh-Jia
    Shih, Hsin-Hung
    INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2010, 13 (02) : 191 - 221
  • [43] ON TWO CONJECTURES IN SEGAL-BARGMANN ANALYSIS
    Bruce Sontz, Stephen
    QUANTUM PROBABILITY AND INFINITE DIMENSIONAL ANALYSIS, PROCEEDINGS, 2007, 20 : 365 - 372
  • [44] Hankel operators on Segal-Bargmann spaces
    Deck, T
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON STOCHASTIC ANALYSIS AND APPLICATIONS, 2004, : 17 - 36
  • [45] Geometric quantization and the generalized Segal-Bargmann transform for lie groups of compact type
    Hall, BC
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 226 (02) : 233 - 268
  • [46] Unbounded Operators on the Segal-Bargmann Space
    Haslinger, Friedrich
    BERGMAN KERNEL AND RELATED TOPICS, SCV XXIII, 2024, 447 : 189 - 224
  • [47] (Heisenberg-)Weyl Algebras, Segal-Bargmann Transform and Representations of Poincare Groups
    Havlicek, Miloslav
    Kotrbaty, Jan
    Moylan, Patrick
    Posta, Severin
    32ND INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (GROUP32), 2019, 1194
  • [48] Inversion formula and uncertainty inequalities for the Weinstein-type Segal-Bargmann transform
    Soltani, Fethi
    Saadi, Hanen
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2023, 34 (08) : 619 - 634
  • [49] Segal-Bargmann transform and Paley-Wiener theorems on Heisenberg motion groups
    Sen, Suparna
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2016, 7 (01) : 13 - 28
  • [50] Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups
    Hilgert, Joachim
    Kobayashi, Toshiyuki
    Mollers, Jan
    Orsted, Bent
    JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 263 (11) : 3492 - 3563
12345