Uncertainty inequalities associated to some homogeneous functions.

DOI10.1016/J.CRMA.2005.03.028zbMath1086.42006OpenAlexW2071921325MaRDI QIDQ557098

Bruno Demange

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.03.028

zbMATH Keywords

uncertainty principlethin sethomogeneous function

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (3)

Generalized sign Fourier uncertainty ⋮ Orthonormal sequences in \(L^{2}(\mathbb{R}^{d})\) and time frequency localization ⋮ Nazarov's uncertainty principles in higher dimension

Cites Work

• A survey on uncertainty principles related to quadratic forms
• On support properties of Lsup(p)-functions and their Fourier transforms
• Some harmonic analysis questions suggested by Anderson-Bernoulli models. Appendix by T.H.Wolff
• Some results related to the Logvinenko-Sereda theorem
• UNCERTAINTY PRINCIPLES FOR THE AMBIGUITY FUNCTION
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