Multi-dimensional linear canonical transform;
uncertainty principle;
Pitt's inequality;
FRACTIONAL FOURIER;
REAL SIGNALS;
INEQUALITIES;
D O I:
10.1142/S0219887822500293
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
The main objective of this paper is to establish Heisenberg's and Beckner's uncertainty principles associated with multi-dimensional linear canonical transform.
机构:
Guilin University of Electronic Technology,School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and ComputationGuilin University of Electronic Technology,School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation
Yingchun Jiang
Sihua Ling
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机构:
Center for Applied Mathematics of Guangxi (GUET),undefinedGuilin University of Electronic Technology,School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation
Sihua Ling
Yan Tang
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机构:
Guilin University of Electronic Technology,School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and ComputationGuilin University of Electronic Technology,School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation
机构:
Nanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R ChinaNanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Huo, Haiye
Sun, Wenchang
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机构:
Nankai Univ, Sch Math Sci, Tianjin, Peoples R China
Nankai Univ, LPMC, Tianjin, Peoples R ChinaNanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
Sun, Wenchang
Xiao, Li
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机构:
Tulane Univ, Dept Biomed Engn, New Orleans, LA 70118 USANanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
机构:
Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Bihar, IndiaIndian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Bihar, India
Kundu, Manab
Prasad, Akhilesh
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机构:
Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Bihar, IndiaIndian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Bihar, India
机构:
Taibah Univ, Coll Sci, Dept Math, POB 30002, Al Madinah Al Munawarah, Saudi ArabiaTaibah Univ, Coll Sci, Dept Math, POB 30002, Al Madinah Al Munawarah, Saudi Arabia
Mejjaoli, Hatem
Negzaoui, Selma
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机构:
Univ Tunis El Manar, Fac Sci Tunis, Lab Anal Math & Applicat LR11ES11, Campus Univ,El Manar I, Tunis 2092, TunisiaTaibah Univ, Coll Sci, Dept Math, POB 30002, Al Madinah Al Munawarah, Saudi Arabia