×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite