An analogue of the Hardy theorem for the Cartan motion group

DOI10.3792/PJAA.74.149zbMath0930.43010OpenAlexW2079521056MaRDI QIDQ1283164

Shin Koizumi, Masaaki Eguchi, Keisaku Kumahara

Publication date: 6 February 2000

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.74.149

zbMATH Keywords

uncertainty principleFourier transform on Cartan motion group

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80)

Related Items (7)

On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups ⋮ A generalization of the Hardy theorem to semisimple Lie groups ⋮ On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups ⋮ A generalizaton of Hardy's uncertainty principle on compact extensions of \(\mathbb R^n\) ⋮ On Hardy's uncertainty principle for connected nilpotent Lie groups ⋮ HARDY AND MIYACHI THEOREMS FOR HEISENBERG MOTION GROUPS ⋮ On theorems of Beurling and Hardy for the Euclidean motion groups

Cites Work

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• A subspace of Schwartz space on motion groups
• An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups
• Fourier transforms on the Cartan motion group
• Hardy’s theorem for the 𝑛-dimensional Euclidean motion group

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