Hilbert C模上的Gabor酉系统

Gabor Unitary Systems On Hilbert C~*-Modules

本文引入了Hilbert C*-模上的Gabor酉系统的概念,研究了它的基本性质,证明了膨胀定理,并给出某个酉系统的两个正规框架向量不相交的等价条件.

We introduce the notion of Gabor unitary system on Hilbert C*-module and study some properties of it. 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 Hilbert C*-module.