Minimizing functions for an uncertainty principle on locally compact groups of bounded representation dimension

DOI10.1090/S0002-9939-06-08451-6zbMath1115.43002OpenAlexW2105890210MaRDI QIDQ3419989

Eberhard Kaniuth

Publication date: 1 February 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08451-6

zbMATH Keywords

Fourier transformLocally compact groupUncertainty principleDual object

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Character groups and dual objects (43A40)

Related Items

Uncertainty principles for compact groups ⋮ The norm of the Fourier transform on compact or discrete abelian groups ⋮ Uncertainty in time-frequency representations on finite Abelian groups and applications ⋮ A COMPACT QUALITATIVE UNCERTAINTY PRINCIPLE FOR SOME NONUNIMODULAR GROUPS ⋮ Qualitative uncertainty principle for the Gabor transform on certain locally compact groups ⋮ Qualitative uncertainty principles for groups with finite dimensional irreducible representations

Cites Work

• Harmonische Analyse auf Gruppen mit endlich-dimensionalen irreduciblen Darstellungen
• A weak qualitative uncertainty principle for compact groups
• A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups
• Uncertainty Principles and Signal Recovery
• The Uncertainty Principle on Groups
• A Qualitative Uncertainty Principle for Unimodular Groups of Type I
• Groups with Finite Dimensional Irreducible Representations
• The plancherel formula for group extensions
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