The Structure of Finitely Generated Shift-Invariant Subspaces in Super Hilbert Spaces |
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| Authors: | Qingyue Zhang |
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| Affiliation: | Department of Mathematics and LPMC , Nankai University , Tianjin , P. R. China |
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| Abstract: | We study the structure of finitely generated shift-invariant subspaces with generators from the super Hilbert space L 2(? d )(N). We give a characterization for these subspaces. Moreover, we show that every finitely generated shift-invariant subspace possesses a tight frame. We also give a necessary and sufficient condition for such a space to be principal. Our results generalize similar ones for which generators are from L 2(? d ). |
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| Keywords: | Frames Shift-invariant subspaces Super Hilbert spaces |
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