摘要
由于加权框架具有良好的冗余性,从而为信号重构和图像处理提供了非常有用的信息.讨论加权框架的一些基本性质,从Balazs P的文章中所给Bessel乘子的定义模式发现,它与加权框架有某种联系.为了寻找这种联系,重新定义了一种算子——w-算子,并讨论了该算子在序列{k}k∈K和{ψk}k∈K分别为Bessel序列、加权框架、框架、框架序列及Riesz基时的性质.
The redundancies of weighted frames provide us useful information for signal reconstruction and image procession. Firstly, we discuss the basic properties of weighted frames. Then, from the definition of Bessel mul- tipliers we found it is corresponds to the weighted frames. In order to find this relationship, we define a new op- erator-w-operator and discuss the properties of this operator when the sequences { ~bk / k^Kand { ~k / k^K are re- spectively Bessel sequence, weighted frames, frame sequence, frame and Riesz bases.
出处
《南阳师范学院学报》
CAS
2007年第6期5-9,共5页
Journal of Nanyang Normal University
基金
国家自然科学基金资助项目(10571113)
