Uncertainty inequalities for certain connected Lie groups

被引：0
作者：
Piyush Bansal
Ajay Kumar
Ashish Bansal
机构：
[1] St. Stephen’s College (University of Delhi),Department of Mathematics
[2] University Enclave,Department of Mathematics
[3] University of Delhi,Department of Mathematics
[4] Keshav Mahavidyalaya (University of Delhi),undefined
来源：
Annals of Functional Analysis | 2023年 / 14卷
关键词：
Pitt’s inequality; Logarithmic uncertainty inequality; Fourier transform; Heisenberg uncertainty inequality; Heisenberg motion group; Nilpotent Lie groups; Exponential solvable groups; Plancherel formula; Diamond Lie groups; 43A32; 43A30; 22D10; 22D30; 22E25;
D O I：
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中图分类号：
学科分类号：
摘要：
Pitt’s inequality for exponential solvable Lie groups with non-trivial center, connected nilpotent Lie groups with non-compact center, Heisenberg motion group and diamond Lie groups has been proved. These inequalities have been used to establish logarithmic uncertainty inequality and Heisenberg uncertainty inequality for the above classes of groups.
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