近似对偶g-框架的刻画

发布时间：2018-06-19 02:49

  本文选题：g-框架 + 对偶框架　； 参考：《北京工业大学学报》2017年09期

【摘要】：近似对偶框架的构造比经典对偶框架的构造更为容易,而且可以导出几乎同样完美的重构公式,在子空间框架(fusion框架)的背景下,给出了近似对偶g-框架的明确刻画.作为应用,证明了对于给定的一组近似对偶g-框架({Λ_n}_n,{Γ_n}_n),存在另一组近似对偶框架({Ψ_n}_n,{Υ_n}_n),使得T_ΛU_Γ=T_ΨU_Υ,其中T_Y和U_Y分别表示g-框架{Y_n}_n的准框架算子与分析算子.
[Abstract]:The construction of the approximate dual frame is easier than that of the classical dual frame, and the almost equally perfect reconstruction formula can be derived. In the context of the subspace frame fusion), the explicit characterization of the approximate dual g- frame is given. As an application, it is proved that for a given set of approximately dual g- frames, there exists another set of quasi-frame operators and analysis operators for a given set of nearly dual g- (?)-_ _ _ T _ 蠄 _ 纬 _ T _ 蠄 _ u _ 纬, where TY and UY denote the quasi frame operator and the analytical operator of the g-frame {Yn} n, respectively, in which TY and UY denote the quasi frame operator and the analytical operator of the g- frame {Yn} n, respectively.
【作者单位】： 北京工业大学应用数理学院;
【基金】：国家自然科学基金资助项目(11271037)
【分类号】：O177
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本文编号：2038046