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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/530172 |