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摘要
The main purpose of this paper is to give a new proof of the Balian- Low theorem for Gabor system{e(im theta(2 pi t)) g(t - n),m,n is an element of Z}, which is proposed by Fu et al. and associated with nonlinear Fourier atoms. To this end, we establish the relationships between spaces L-2 (R,d theta) and L-2 (R). We also introduce the concept of frame associated with nonlinear Fourier atoms for L-2 (R,d theta) and obtain many subsidiary results for this kind of (Gabor) frames.
