Uncertainty principles on two step nilpotent Lie groups

DOI10.1007/BF02829598zbMath0989.43001WikidataQ115391526 ScholiaQ115391526MaRDI QIDQ5949624

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Publication date: 28 July 2002

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Fourier transform2-step nilpotent simply connected Lie groupsCowling-Price theoremHardy's theoremuncertainty principles

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (13)

On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups ⋮ On Hardy's uncertainty principle for solvable locally compact groups ⋮ An Analogue of Beurling's Theorem for the Heisenberg Group ⋮ Roe–Strichartz theorem on two‐step nilpotent Lie groups^a ⋮ Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group ⋮ On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups ⋮ On Hardy's uncertainty principle for connected nilpotent Lie groups ⋮ 𝐿^{𝑝} version of Hardy’s theorem on semisimple Lie groups ⋮ Around theorems of Ingham-type regarding decay of Fourier transform on \(\mathbb{R}^n, \mathbb{T}^n\) and two step nilpotent Lie groups ⋮ Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups ⋮ On theorems of Morgan and Cowling-Price for selected nilpotent Lie groups ⋮ A note on the heat kernel for the rescaled harmonic oscillator from two step nilpotent Lie groups ⋮ HARDY’S THEOREM FOR GABOR TRANSFORM

Cites Work

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