TY - JOUR
ID - 154678
TI - Uncertainty principles on nilpotent Lie groups
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Kumar, Ajay
AU - Sharma, Jyoti
AD - Department of Mathematics, University of Delhi, Delhi, 110007, India
AD - Department of Mathematics, Daulat Ram College, University of Delhi, Delhi, 110007, India
Y1 - 2022
PY - 2022
VL - 8
IS - 2
SP - 143
EP - 162
KW - Hardy’s type theorem
KW - Fourier Transform
KW - Beurling theorem
KW - Continuous Gabor transform
KW - Nilpotent Lie group
DO - 10.22034/kjm.2022.305501.2374
N2 - 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.
UR - http://www.kjm-math.org/article_154678.html
L1 - http://www.kjm-math.org/article_154678_543eb0018bddc013db0529ee7562aded.pdf
ER -