%0 Journal Article
%T Uncertainty principles on nilpotent Lie groups
%J Khayyam Journal of Mathematics
%I 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)
%Z 2423-4788
%A Kumar, Ajay
%A Sharma, Jyoti
%D 2022
%\ 07/01/2022
%V 8
%N 2
%P 143-162
%! Uncertainty principles on nilpotent Lie groups
%K Hardy’s type theorem
%K Fourier Transform
%K Beurling theorem
%K Continuous Gabor transform
%K Nilpotent Lie group
%R 10.22034/kjm.2022.305501.2374
%X 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.
%U http://www.kjm-math.org/article_154678_543eb0018bddc013db0529ee7562aded.pdf