Pitt's Inequality and Logarithmic Uncertainty Principle for the Clifford-Fourier Transform

被引：3
|
作者：
Li, Shanshan [1 ]
Fei, Minggang [2 ]
机构：
[1] SW Minzu Univ, Sch Math, Chengdu 610041, Peoples R China
[2] Univ Elect Sci & Technology China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2023年 / 33卷 / 01期
关键词：
Pitt's inequality; Logarithmic uncertainty principle; Clifford-Fourier transform; Clifford analysis; THEOREMS;
D O I：
10.1007/s00006-022-01244-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the sharp Pitt's inequality for a generalized Clifford-Fourier transform which is given by a similar operator exponential as the classical Fourier transform but containing generators of Lie superalgebra. As an application, the Beckner's logarithmic uncertainty principle for the Clifford-Fourier transform is established.
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页数：12
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