Abstract
Basic facts for Gabor frame {E u(m)b T u(n)a g} m, n ∈ρ on local field are investigated. Accurately, that the canonical dual of frame {E u(m)b T u(n)a g} m, n ∈ρ also has the Gabor structure is showed; that the product ab decides whether it is possible for {E u(m)b T u(n)a g} m, n ∈ρ to be a frame for L 2(K) is discussed; some necessary conditions and two sufficient conditions of Gabor frame for L 2(K) are established. An example is finally given.
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