The uncertainty principle: A mathematical survey

@article{Folland1997TheUP,
  title={The uncertainty principle: A mathematical survey},
  author={G. Folland and A. Sitaram},
  journal={Journal of Fourier Analysis and Applications},
  year={1997},
  volume={3},
  pages={207-238}
}
  • G. Folland, A. Sitaram
  • Published 1997
  • Mathematics
  • Journal of Fourier Analysis and Applications
  • We survey various mathematical aspects of the uncertainty principle, including Heisenberg’s inequality and its variants, local uncertainty inequalities, logarithmic uncertainty inequalities, results relating to Wigner distributions, qualitative uncertainty principles, theorems on approximate concentration, and decompositions of phase space. 
    On uncertainty principles in the finite dimensional setting
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    Variations on uncertainty principles for integral operators
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    Uncertainty principles involving L 1-norms for the Dunkl transform
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    Some Remarks on the Discrete Uncertainty Principle
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    Uncertainty relations in the framework of equalities
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    Uncertainty principles and weighted norm inequalities
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    A sharper uncertainty principle
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    Research on Generalized Uncertainty Principles
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