New Proof for Balian-Low Theorem of Nonlinear Gabor System
Joint Authors
Yuan, D. H.
Yang, S. Z.
Zheng, X. W.
Shen, Y. F.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The main purpose of this paper is to give a new proof of the Balian-Low theorem for Gabor system {eimθ(2πt)g(t−n), m,n∈ℤ}, which is proposed by Fu et al.
and associated with nonlinear Fourier atoms.
To this end, we establish the relationships between spaces L2(ℝ,dθ) and L2(ℝ).
We also introduce the concept of frame associated with nonlinear Fourier atoms for L2(ℝ,dθ) and obtain many subsidiary results for this kind of (Gabor) frames.
American Psychological Association (APA)
Yuan, D. H.& Yang, S. Z.& Zheng, X. W.& Shen, Y. F.. 2013. New Proof for Balian-Low Theorem of Nonlinear Gabor System. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006109
Modern Language Association (MLA)
Yuan, D. H.…[et al.]. New Proof for Balian-Low Theorem of Nonlinear Gabor System. Journal of Function Spaces No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1006109
American Medical Association (AMA)
Yuan, D. H.& Yang, S. Z.& Zheng, X. W.& Shen, Y. F.. New Proof for Balian-Low Theorem of Nonlinear Gabor System. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1006109
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006109