Uncertainty principles for the generalized Fourier transform associated to a Dunkl-type operator

被引：9

作者：

Mejjaoli, Hatem ^{[1
]}

机构：

[1] Taibah Univ, Dept Math, Coll Sci, POB 30002, Al Madinah, Al Munawarah, Saudi Arabia

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 09期

关键词：

generalized Fourier transform; Hardy's type theorem; Cowling-Price's theorem; Beurling's theorem; Donoho-Stark's uncertainty principle; variants of Heisenberg's uncertainty principle; DIFFERENTIAL-DIFFERENCE OPERATOR; SPHEROIDAL WAVE-FUNCTIONS; TRANSMUTATION OPERATORS; REAL LINE; THEOREM; SPACES;

D O I：

10.1080/00036811.2015.1080248

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove various mathematical aspects of the qualitative and quantitative uncertainty principle, including Hardy's, Cowling-Price and its variants, Beurling and its variants, Gelfand-Shilov, Donoho-Stark's uncertainty principle, and variants of Heisenberg's inequalities for the generalized Fourier transform associated to a Dunkl-type operator on the real line.

引用

页码：1930 / 1956

页数：27

共 50 条

[1] Paley–Wiener Theorem for a Generalized Fourier Transform Associated to a Dunkl-Type Operator
Minggang Fei
Lan Yang
Mediterranean Journal of Mathematics, 2021, 18
[2] Paley-Wiener Theorem for a Generalized Fourier Transform Associated to a Dunkl-Type Operator
Fei, Minggang
Yang, Lan
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (05)
[3] Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line
Mejjaoli, Hatem
Trimeche, Khalifa
ANALYSIS AND MATHEMATICAL PHYSICS, 2016, 6 (02) : 141 - 162
[4] Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line
Hatem Mejjaoli
Khalifa Trimèche
Analysis and Mathematical Physics, 2016, 6 : 141 - 162
[5] Uncertainty Principles for the Dunkl-Type Segal–Bargmann Transform
Fethi Soltani
Complex Analysis and Operator Theory, 2017, 11 : 475 - 490
[6] Uncertainty Principles for the Dunkl-Type Segal-Bargmann Transform
Soltani, Fethi
COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (03) : 475 - 490
[7] Generalized Wigner transform associated with the Jacobi-Dunkl operator and uncertainty principles
Mejjaoli, Hatem
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024,
[8] Uncertainty Principles for the Generalized Fourier Transform Associated with Spherical Mean Operator
Hatem Mejjaoli
Youssef Othmani
Analysis in Theory and Applications, 2013, 29 (04) : 309 - 332
[9] Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space
Fethi Soltani
Meriem Nenni
Complex Analysis and Operator Theory, 2023, 17
[10] Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space
Soltani, Fethi
Nenni, Meriem
COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (06)

← 1 2 3 4 5 →