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.
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页数：13
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