The Balian-Low theorem and regularity of Gabor systems-Reference-Cited by-同舟云学术

The Balian-Low theorem and regularity of Gabor systems

Published:2003-06 Issue:2 Volume:13 Page:239-254
ISSN:1050-6926
Container-title:Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Benedetto John J.,Czaja Wojciech,Gadziński Przemystaw,Powell Alexander M.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1007/BF02930696.pdf

Reference27 articles.

1. Lecture Notes in Mathematics;A. Auslander,1975

2. Bacry, H., Grossman, A., and Zak, J. Proof of completeness of lattice states in the kq representation,Phys. Rev. B.,12, 1118–1120, (1975).

3. Balian, R. A strong uncertainty principle in signal theory or in quantum mechanics (in French),C.R. Acad. Sci. Paris,292(20), 1357–1362, (1981).

4. Benedetto, J.J. Gabor representations and wavelets,Contemporary Mathematics,91, 9–27, (1989).

5. Benedetto, J.J. Frame decompositions, sampling, and uncertainty principle inequalities, inWavelets: Mathematics and Applications, 247–304. CRC Press, Boca Raton, FL, (1994).

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Balian-Low Theorem for $$(C_q)$$-Systems in Shift-Invariant Spaces;Applied and Numerical Harmonic Analysis;2023

2. Uncertainty Principles for Fourier Multipliers;Journal of Fourier Analysis and Applications;2020-09-30

3. A quantitative Balian–Low theorem for higher dimensions;Georgian Mathematical Journal;2020-09-01

4. An endpoint Balian-Low theorem for Schauder bases;Journal of Mathematical Analysis and Applications;2020-05

5. Orthonormal bases in the orbit of square-integrable representations of nilpotent Lie groups;Journal of Functional Analysis;2018-12