A generalization of the Hardy theorem to semisimple Lie groups

DOI10.3792/pjaa.75.113zbMath0946.22011OpenAlexW2075213187WikidataQ115219920 ScholiaQ115219920MaRDI QIDQ1969179

Keisaku Kumahara, Mitsuhiko Ebata, Masaaki Eguchi, Shin Koizumi

Publication date: 22 October 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.75.113

zbMATH Keywords

Fourier transformssemisimple Lie groupsirreducible unitary representationsCartan subgroupsHardy theorem

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (4)

Cowling-Price theorem and characterization of heat kernel on symmetric spaces ⋮ 𝐿^{𝑝} version of Hardy’s theorem on semisimple Lie groups ⋮ Uncertainty principles on two step nilpotent Lie groups ⋮ A complete analogue of Hardy's theorem on \(SL_2(\mathbb{R})\) and characterization of the heat kernel

Cites Work

• Unnamed Item
• Asymptotic behaviour of matrix coefficients of the discrete series
• An analogue of the Hardy theorem for the Cartan motion group
• An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups
• Hardy’s theorem for the 𝑛-dimensional Euclidean motion group
• SOME RESULTS ON DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS

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