uncertainty principles for the Fourier transform with numerical aspect

DOI10.1080/00036811.2015.1043282zbMath1337.42007OpenAlexW2333117646WikidataQ58149503 ScholiaQ58149503MaRDI QIDQ2805619

Akram Nemri, Fethi Soltani

Publication date: 12 May 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1043282

zbMATH Keywords

Fourier transformnumerical methodsHeisenberg-Pauli-Weyl uncertainty principleconcentration uncertainty principleslocal uncertainty principlepartial Fourier integrals

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20) Measures and integration on abstract linear spaces (46G12) Numerical methods in Fourier analysis (65T99)

Cites Work

• The uncertainty principle: A mathematical survey
• \(L_p\) uncertainty principles on Sturm-Liouville hypergroups
• Analytical and numerical approximation formulas for the Fourier multiplier operators
• L P LOCAL UNCERTAINTY INEQUALITY FOR THE STURM-LIOUVILLE TRANSFORM
• Uncertainty Principles and Signal Recovery
• A Note on Entropy
• Inequalities and local uncertainty principles
• Analytical and numerical applications for the Fourier multiplier operators on ℝⁿ× (0, ∞)

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