New Proof for Balian-Low Theorem of Nonlinear Gabor System
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...
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Main Authors: | D. H. Yuan, S. Z. Yang, X. W. Zheng, Y. F. Shen |
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Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2013/530172 |
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