An Analogue of Beurling's Theorem for the Heisenberg Group

DOI10.1017/S0004972700039812zbMath1154.43001OpenAlexW2099445791MaRDI QIDQ5301251

He Ping Liu, Ji Zheng Huang

Publication date: 29 April 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039812

zbMATH Keywords

Heisenberg groupuncertainty principleHermite functionsBeurling theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

Related Items (1)

Uncertainty principles for Heisenberg motion group

Cites Work

• On theorems of Beurling and Hardy for the Euclidean motion groups
• A uniqueness theorem of Beurling for Fourier transform pairs
• The uncertainty principle: A mathematical survey
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Revisiting Hardy's theorem for the Heisenberg group
• On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups
• Uncertainty principles on certain Lie groups
• Harmonic Analysis in Phase Space. (AM-122)
• Hardy's Uncertainty Principle on Certain Lie Groups
• An analogue of Hardy's theorem for the Heisenberg group
• The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups
• Uncertainty principles on two step nilpotent Lie groups

This page was built for publication: An Analogue of Beurling's Theorem for the Heisenberg Group