---
res:
  bibo_abstract:
  - We show how a number of well-known uncertainty principles for the Fourier transform,
    such as the Heisenberg uncertainty principle, the Donoho–Stark uncertainty principle,
    and Meshulam’s nonabelian uncertainty principle, have little to do with the structure
    of the Fourier transform itself. Rather, all of these results follow from very
    weak properties of the Fourier transform (shared by numerous linear operators),
    namely that it is bounded as an operator  L1 → L∞, and that it is unitary. Using
    a single, simple proof template, and only these (or weaker) properties, we obtain
    some new proofs and many generalizations of these basic uncertainty principles,
    to new operators and to new settings, in a completely unified way. Together with
    our general overview, this paper can also serve as a survey of the many facets
    of the phenomena known as uncertainty principles.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Avi
      foaf_name: Wigderson, Avi
      foaf_surname: Wigderson
  - foaf_Person:
      foaf_givenName: Yuval
      foaf_name: Wigderson, Yuval
      foaf_surname: Wigderson
      foaf_workInfoHomepage: http://www.librecat.org/personId=2d0023a0-1567-11f0-833d-d5c1e476d4b5
  bibo_doi: 10.1090/bull/1715
  bibo_issue: '2'
  bibo_volume: 58
  dct_date: 2021^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0273-0979
  - http://id.crossref.org/issn/1088-9485
  dct_language: eng
  dct_publisher: American Mathematical Society@
  dct_title: 'The uncertainty principle: Variations on a theme@'
...