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A Qualitative Uncertainty Principle for Certain Locally Compact Groups

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Publication:5201743
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DOI10.1515/form.1991.3.355zbMath0725.43006OpenAlexW2055865132MaRDI QIDQ5201743

Ajay Kumar, Siegfried Echterhoff, Eberhard Kaniuth

Publication date: 1991

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186395


zbMATH Keywords

nilpotent Lie groupsdiscrete groupsHeisenberg groupsFourier-transformmultiplier extensionsHaar-measurePlancherel-measureQualitative Uncertainty Principleunimodular locally compact group of type I


Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Locally compact groups and their algebras (22D99)


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The uncertainty principle: A mathematical survey ⋮ Uncertainty principles for compact groups ⋮ Uncertainty principles on certain Lie groups ⋮ Unnamed Item ⋮ Qualitative uncertainty principle for the Gabor transform on certain locally compact groups ⋮ Qualitative uncertainty principles for groups with finite dimensional irreducible representations ⋮ Q.U.P. and Paley-Wiener properties of unimodular, especially nilpotent, Lie groups



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