Uncertainty principles in Banach spaces and signal recovery

  • Authors:

  • Say Song Goh;Tim N. T. Goodman

  • Affiliations:

  • Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore;Department of Mathematics, The University of Dundee, Dundee DD1 4HN, Scotland, UK

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2006

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Abstract

A very general uncertainty principle is given for operators on Banach spaces. Many consequences are derived, including uncertainty principles for Bessel sequences in Hilbert spaces and for integral operators between measure spaces. In particular it implies an uncertainty principle for L^p(G), 1=