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Gabor unitary systems on Hilbert \(C^*\)-modules. (Chinese. English summary) Zbl 1086.46513

Summary: We introduce the notion of Gabor unitary system on Hilbert \(C^*\)-modules and study some of its properties. We prove the dilation theorem and find out the equivalent conditions for the disjointness of two normalized tight frame vectors for a Gabor unitary system on a Hilbert \(C^*\)-module.

MSC:

46L08 \(C^*\)-modules
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
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