Linear Canonical Bargmann Transform

被引：0
|
作者：
Linghu, Rong-Qian [1 ]
Li, Bing-Zhao [1 ,2 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 102488, Peoples R China
[2] Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 102488, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 19卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Linear canonical Bargmann transform; Bargmann transform; Convolution; Uncertainty principle; INTEGRAL TRANSFORM; ANALYTIC-FUNCTIONS; HILBERT-SPACE; FOURIER;
D O I：
10.1007/s11785-024-01628-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a linear canonical transform associated with the Bargmann transform, referred to as the linear canonical Bargmann transform (LCBT) is proposed. The relationship between the Fourier transform, fractional Fourier transform, and the LCBT are discussed. Following this, the basic properties of the LCBT are derived, including the Parseval theorem, linearity, translation, modulation, convolution, and the uncertainty principle. It is evident that the LCBT serves as a generalized form of both the Fourier transform and fractional Fourier transform.
引用
收藏
页数：13
相关论文
共 50 条
  • [31] The octonion linear canonical transform: Definition and properties
    Gao, Wen-Biao
    Li, Bing-Zhao
    SIGNAL PROCESSING, 2021, 188
  • [32] The octonion linear canonical transform: Properties and applications
    Jiang, Nan
    Feng, Qiang
    Yang, Xi
    He, Jin-Rong
    Li, Bing-Zhao
    CHAOS SOLITONS & FRACTALS, 2025, 192
  • [33] Inversion formula for the windowed linear canonical transform
    Han, Yaoyao
    Sun, Wenchang
    APPLICABLE ANALYSIS, 2022, 101 (14) : 5156 - 5170
  • [34] Quaternionic Linear Canonical Wave Packet Transform
    Bhat, Younis Ahmad
    Sheikh, N. A.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (04)
  • [35] A New Class of Linear Canonical Wavelet Transform
    Gupta, Bivek
    Verma, Amit K.
    Cattani, Carlo
    JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2024, 10 (01): : 64 - 79
  • [36] The spherical linear canonical transform: Definition and properties
    Zhao, Hui
    Li, Bing-Zhao
    OPTIK, 2023, 283
  • [37] Bargmann Transform on the Space of Hyperplanes
    Hiroyuki Chihara
    Journal of Fourier Analysis and Applications, 2022, 28
  • [38] Convolution, Correlation, and Uncertainty Principles for the Quaternion Offset Linear Canonical Transform
    Urynbassarova, Didar
    Teali, Aajaz A.
    MATHEMATICS, 2023, 11 (09)
  • [39] Uncertainty Principles for the Two-Sided Quaternion Linear Canonical Transform
    Zhu, Xiaoyu
    Zheng, Shenzhou
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2020, 39 (09) : 4436 - 4458
  • [40] On uncertainty principle for the two-sided quaternion linear canonical transform
    Zhu, Xiaoyu
    Zheng, Shenzhou
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2021, 12 (01)
12345