Fusion Frams Arising via Iterated Action of Operators |
کد مقاله : 1004-SHAA |
نویسندگان |
الناز اسگویی * گروه ریاضی، دانشکده علوم، دانشگاه صنعتی ارومیه، ارومیه، ایران. |
چکیده مقاله |
In this paper, the results which are confirmed to discrete dynamical systems ${T^{k}f_{1}}_{k=0}^{infty}$, are extended to fusion frames and a characterization of the fusion frame ${W_{k}}_{k=1}^{infty}$ that has the form ${W_{k}}_{k=1}^{infty}={T^{k}W_{1}}_{k=0}^{infty}$ is provided for some linear operator $T$ on $H$ and $W_{1}subseteq H$. Also, the indexing in terms of $mathbb{Z}$ is considered and shown that changes in indexing gives some results which are not satisfied in terms of $mathbb{N}$. |
کلیدواژه ها |
Dynamical sampling, Fusion frames, Iterated representation. |
وضعیت: پذیرفته شده مشروط برای ارائه شفاهی |