An analogue of Hardy's theorem for the Harish-Chandra transform

DOI10.32917/hmj/1151105726zbMath0999.22011OpenAlexW2136529088WikidataQ128865696 ScholiaQ128865696MaRDI QIDQ1348162

Nobukazu Shimeno

Publication date: 15 May 2002

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

Full work available at URL: https://doi.org/10.32917/hmj/1151105726

zbMATH Keywords

Fourier transformspherical functionssemisimple Lie groupHardy's theoremRiemannian symmetric spaceHarish-Chandra transformHelgason transform

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (3)

Cowling-Price theorem and characterization of heat kernel on symmetric spaces ⋮ The Abel, Fourier and Radon transforms on symmetric spaces ⋮ The heat kernel and Hardy's theorem on symmetric spaces of noncompact type

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