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FRAME MULTIRESOLUTION ANALYSIS AND infinite trees in banach spaces ON LOCALLY COMPACT ABELIAN GROUPS
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Analysis in Theory and Applications 2004年 第3期20卷 231-241页
作者： S.S.Panday R.D.University Indiae extend the concept of frame multiresolution analysis to a locally compact abelian group and use it to define certain weighted Banach spaces and the spaces of their antifunctionals. We define analysis and synthesis operators on these spaces and establish the continuity of their composition. Also we prove a general result to characterize infinite trees in the above Banach spaces of antifunctionals. This paper paves the way for the study of corresponding problems associated with some other types of Banach spaces on locally compact abelian groups including modulation spaces.
We extend the concept of frame multiresolution analysis to a locally compact abelian group and use it to define certain weighted banach spaces and the spaces of their antifunctionals. We define analysis and synthesis ... 详细信息
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