1
Department of Mathematics, University of Delhi, Delhi, 110007, India
2
Department of Mathematics, Daulat Ram College, University of Delhi, Delhi, 110007, India
10.22034/kjm.2022.305501.2374
Abstract
We prove Hardy’s type uncertainty principle on connected nilpotent Lie groups for the Fourier transform is proved. An analogue of Hardy’s theorem for Gabor transform has been established for connected and simply connected nilpotent Lie groups . Finally Beurling’s theorem for Gabor transform is discussed for groups of the form R^n × K, where K is a compact group.
Kumar, A., & Sharma, J. (2022). Uncertainty principles on nilpotent Lie groups. Khayyam Journal of Mathematics, 8(2), 143-162. doi: 10.22034/kjm.2022.305501.2374
MLA
Ajay Kumar; Jyoti Sharma. "Uncertainty principles on nilpotent Lie groups". Khayyam Journal of Mathematics, 8, 2, 2022, 143-162. doi: 10.22034/kjm.2022.305501.2374
HARVARD
Kumar, A., Sharma, J. (2022). 'Uncertainty principles on nilpotent Lie groups', Khayyam Journal of Mathematics, 8(2), pp. 143-162. doi: 10.22034/kjm.2022.305501.2374
VANCOUVER
Kumar, A., Sharma, J. Uncertainty principles on nilpotent Lie groups. Khayyam Journal of Mathematics, 2022; 8(2): 143-162. doi: 10.22034/kjm.2022.305501.2374
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