Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47888220220701Uncertainty principles on nilpotent Lie groups14316215467810.22034/kjm.2022.305501.2374ENAjayKumarDepartment of Mathematics, University of Delhi, Delhi, 110007, IndiaJyotiSharmaDepartment of Mathematics, Daulat Ram College, University of Delhi, Delhi, 110007, IndiaJournal Article20210918We 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.http://www.kjm-math.org/article_154678_543eb0018bddc013db0529ee7562aded.pdf