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A Quantitative Balian-Low Theorem

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Author

Summary, in English

We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem (BLT) restricts the simultaneous time and frequency localization of such functions. We obtain a quantitative estimate on their Zak transform that extends both this result and the more general (p,q) Balian-Low theorem. Moreover, we establish a family of quantitative amalgam-type Balian-Low theorems that contain both the amalgam BLT and the classical BLT as special cases.

Publishing year

2013

Language

English

Pages

1078-1092

Publication/Series

Journal of Fourier Analysis and Applications

Volume

19

Issue

5

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • Balian-Low theorem
  • Riesz bases
  • Frames
  • Gabor systems
  • Time-frequency
  • analysis
  • Uncertainty principles
  • Zak transform

Status

Published

ISBN/ISSN/Other

  • ISSN: 1531-5851