Uncertainty principles on nilpotent Lie groups
[摘要] 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.
[发布日期] [发布机构]
[效力级别] [学科分类] 公共、环境与职业健康
[关键词] Hardy’s type theorem;Fourier Transform;Beurling theorem;Continuous Gabor transform;Nilpotent Lie group [时效性]
