Hardy’s theorem for the 𝑛-dimensional Euclidean motion group

DOI10.1090/S0002-9939-98-04144-6zbMath0898.43002OpenAlexW1508865972MaRDI QIDQ4383112

Maddala Sundari

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04144-6

zbMATH Keywords

unitary representationsHardy's theoremEuclidean motion groupUncertainty principleFourier transform pairsvery rapidly decreasing

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

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Cites Work

• A uniqueness theorem of Beurling for Fourier transform pairs
• An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups
• An uncertainty principle for eigenfunction expansions.
• Uncertainty principles on certain Lie groups
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