Uncertainty principles on nilpotent Lie groups

2019/01/07 by Jyoti Sharma, Ajay Kumar, Sharma, Jyoti +1
Computer Science · Mathematics · Medicine · #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Medical Imaging Techniques and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1901.01676

openalex publication_date 2019/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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