The uncertainty principle: A mathematical survey

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DOI10.1007/BF02649110zbMath0885.42006OpenAlexW2015064056WikidataQ55899877 ScholiaQ55899877MaRDI QIDQ1361399

Gerald B. Folland, Alladi Sitaram

Publication date: 23 July 1997

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59507

zbMATH Keywords

Fourier transform uncertainty principle Wigner distribution Heisenberg inequality decomposition of phase space Landau-Pollak-Slepian theory logarithmic inequalities

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) 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) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)

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Cites Work

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