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New proof for balian-low theorem of nonlinear gabor system
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نویسنده
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yuan d.h. ,yang s.z. ,zheng x.w. ,shen y.f.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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The main purpose of this paper is to give a new proof of the balian-low theorem for gabor system { e i m θ (2 π t) g (t - n),m,n e i },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 θ) and l 2 (r). we also introduce the concept of frame associated with nonlinear fourier atoms for l 2 (r,d θ) and obtain many subsidiary results for this kind of (gabor) frames. © 2013 d. h. yuan et al.
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آدرس
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department of mathematics,hanshan normal university,chaozhou, China, department of mathematics,shantou university,shantou, China, department of mathematics,shantou university,shantou, China, department of mathematics,shantou university,shantou, China
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Authors
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