A COMPACT QUALITATIVE UNCERTAINTY PRINCIPLE FOR SOME NONUNIMODULAR GROUPS

DOI10.1017/S0004972718001119zbMath1404.43007OpenAlexW2903473154WikidataQ128854097 ScholiaQ128854097MaRDI QIDQ4645773

Wassim Nasserddine

Publication date: 10 January 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972718001119

zbMATH Keywords

Fourier transformationFourier algebraqualitative uncertainty principlePaley-Wiener propertyFourier cotransformation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

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• Qualitative uncertainty principles for groups with finite dimensional irreducible representations
• On the regular representation of a nonunimodular locally compact group
• A weak qualitative uncertainty principle for compact groups
• On the affine group of a local field.
• \(L^{p}\)-Fourier inversion formula on certain locally compact groups
• A characterization of the Fourier algebra for some locally compact groups
• Q.U.P. and Paley-Wiener properties of unimodular, especially nilpotent, Lie groups
• Minimizing functions for an uncertainty principle on locally compact groups of bounded representation dimension
• A Qualitative Uncertainty Principle for Unimodular Groups of Type I
• A topological Paley-Wiener property for locally compact groups

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