The uncertainty principle: A mathematical survey. (English) Zbl 0885.42006
A comprehensive survey mainly devoted to various versions, generalizations, and ramifications of the uncertainty principle, and the results related to the Heisenberg inequality.
Reviewer: S.V.Kislyakov (St.Peterburg)
MSC:
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 42-02 | Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces |
| 26D15 | Inequalities for sums, series and integrals |
| 43A25 | Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups |
| 43A30 | Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. |
| 81Q10 | Selfadjoint operator theory in quantum theory, including spectral analysis |
| 81S30 | Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
| 94A17 | Measures of information, entropy |
Keywords:
logarithmic inequalities; Wigner distribution; Fourier transform; decomposition of phase space; Landau-Pollak-Slepian theory; uncertainty principle; Heisenberg inequalityReferences:
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