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Perturbation of Gabor frame and dual of Gabor frame. (Chinese. English summary) Zbl 1174.42343
Summary: The dual of Gabor frame’s structure is discussed, and then explicit structure of the dual of Gabor frame is given. Under the small perturbation of $$\varphi$$, some changes take place about the dual of Gabor frame. Stability of the dual of Gabor frame is proved under the weak conditions.
##### MSC:
 42C15 General harmonic expansions, frames 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
##### Keywords:
Gabor frame; stability; dual of Gabor frame; Bessel sequence