A Quantitative Balian-Low Theorem
Författare
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.
Avdelning/ar
Publiceringsår
2013
Språk
Engelska
Sidor
1078-1092
Publikation/Tidskrift/Serie
Journal of Fourier Analysis and Applications
Volym
19
Issue
5
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Nyckelord
- Balian-Low theorem
- Riesz bases
- Frames
- Gabor systems
- Time-frequency
- analysis
- Uncertainty principles
- Zak transform
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1531-5851