A Note on Constructing Affine Systems for L
نویسندگان
چکیده
Assume ψ ∈ L(R) has Fourier transform continuous at the origin, with ψ̂(0) = 1, and that ∑ l∈Z |ψ̂(ξ − l)| 2 is bounded as a function of ξ ∈ R. Then every function f ∈ L(R) can be represented by an affine series f = ∑ j>0 ∑ k∈Z cj,kψj,k for some coefficients satisfying ‖c‖l1(l2) = ∑
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