A generalized Beurling theorem for some Lie groups

DOI10.1134/S0001434620010058zbMath1471.43003OpenAlexW3009947994WikidataQ115253699 ScholiaQ115253699MaRDI QIDQ2191935

Ali Baklouti, Mounir Elloumi, Salma Azaouzi

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620010058

zbMATH Keywords

Fourier transformPlancherel formulauncertainty principle

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Beurling's theorem for nilpotent Lie groups
• The heat kernel and Hardy's theorem on symmetric spaces of noncompact type
• On theorems of Beurling and Hardy for the Euclidean motion groups
• On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups
• A uniqueness theorem of Beurling for Fourier transform pairs
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• A generalizaton of Hardy's uncertainty principle on compact extensions of \(\mathbb R^n\)
• The plancherel formula for group extensions
• The plancherel formula for group extensions II

This page was built for publication: A generalized Beurling theorem for some Lie groups