Fusion Frams Arising via Iterated Action of Operators
کد مقاله : 1004-SHAA
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.
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