尺度函数的两个性质

摘要

Two properties are given in this paper about the scaling function: suppose Vj;j ∈ Z is a multiresolution analysis with a continuous scaling function ψ which have compact support set and that ψ the Fourier transform of ψ is a continuous real function, compactly supported, then ψ(0) ≠ 0 and when supp ψ = [a1, b1]∪[a2, b2](b1 ＜ a2, 0 ＜ a2), then we have a1 ≤0, 0＜b1, a1 ＜b2/2≤b1, 2π＜b2-a1≤8π.