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Basic facts for Gabor frame {Eu(m)bTu(n)ag}m, n∈ρ on local field are investigated. Accurately, that the canonical dual of frame {Eu(m)bTu(n)ag}m, n∈ρ also has the Gabor structure is showed; that the product ab decides whether it is possible for {Eu(m)bTu(n)ag}m, n∈ρ to be a frame for L2(K) is discussed; some necessary conditions and two sufficient conditions of Gabor...
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