伪仿射对偶框架

Pseudo Affine Dual Frame

对于给定冗余的仿射框架X(φ)={φ_1,…,φ_L},存在对偶Y(Ψ)={Ψ_1….,Ψ_L},这个对偶可能不是仿射框架,因为它不满足Bessel条件.这样的对偶我们称为伪仿射对偶,并给出伪仿射对偶框架的一种构造公式.

For the given and redundant affine frame X （Ф） = {Ф1,… ,ФL}, there exists dual Y （ψ） = {ψ1,…, ψL}. This dual, which is called pseudo affine dual, is possibly not a affine frame. Because it can＇t satisfy Bessel condition. We will present a structural formula about pseudo affine dual frame.