Meng, Bin Gabor unitary systems on Hilbert \(C^*\)-modules. (Chinese. English summary) Zbl 1086.46513 J. Math. Res. Expo. 25, No. 2, 325-330 (2005). 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 Keywords:modular frame; disjointness; Gabor unitary system; Hilbert \(C^*\)-module PDFBibTeX XMLCite \textit{B. Meng}, J. Math. Res. Expo. 25, No. 2, 325--330 (2005; Zbl 1086.46513)