Beurling's theorem for nilpotent Lie groups

zbMath1216.22007MaRDI QIDQ531282

Kais Smaoui

Publication date: 29 April 2011

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1300802708

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (4)

Generalized analogs of the Heisenberg uncertainty inequality ⋮ A generalized Beurling theorem for some Lie groups ⋮ Unnamed Item ⋮ Erratum to the article ``Beurling's theorem for nilpotent Lie groups.

Cites Work

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• On theorems of Beurling and Hardy for the Euclidean motion groups
• On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups
• Beurling's theorem and \(L^p-L^q\) Morgan's theorem for step two nilpotent Lie groups
• A uniqueness theorem of Beurling for Fourier transform pairs
• Müntz-Szasz theorems for nilpotent Lie groups
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups
• A Theorem Concerning Fourier Transforms
• Beurling's Theorem and Characterization of Heat Kernel for Riemannian Symmetric Spaces of Noncompact Type
• The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups

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