【摘要】 讨论高维空间的Parseval框架多分辨分析,首先给出两个平移不变子空间中当其中一个是标准正交基时,则另一个被它包含且是Parseval框架的充要条件,进而推出高维空间多分辨分析包含Parseval框架多分辨分析的充要条件.更多还原

【Abstract】 In the paper,the Parseval frame multiresolution analysis in higher dimensions is discussed.A necessary and sufficient condition is given for judging whether a given subspace contained by another one which is an orthonormal basis is Parseval frame.And a necessary and sufficient condition of multiresolution analysis containing Parseval frame multiresolution analysis is obtained as well.更多还原