| Fusion Frams Arising via Iterated Action of Operators |
| کد مقاله : 1004-SHAA |
| نویسندگان: |
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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 : مقاله به صورت مشروط برای ارائه شفاهی پذیرفته شده است |