رضا احمدی
مرکز تحقیقات علوم پایه دانشگاه تبریز
[ 1 ] - بهینه‌سازی خطا و الگوریتم بازسازی در قاب‌های ترکیب تعمیم‌یافته
با توجه به کاربردهای قاب‌های ترکیب و ترکیب تعمیم یافته در انتقال داده‌ها، بازسازی دوباره قاب در حالتی‌که یک عضو قاب حذف شده باشد از اهمیت ویزه‌ای برخوردار است. در این مقاله، یک روش بازسازی قاب، برای قاب ترکیب تعمیم یافته، ارائه شده و عملگر خطا را معرفی و کران بالایی برای آن بدست آورده‌ایم. همچنین، عملگر تقریب برای قاب مورد بحث را معرفی کرده و نتایجی در ارتباط با آن مورد مطالعه قرار خواهد گرفت.
[ 2 ] - Some Properties of Continuous $K$-frames in Hilbert Spaces
The theory of continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory. The $K$-frames were introduced by G$breve{mbox{a}}$vruta (2012) for Hilbert spaces to study atomic systems with respect to a bounded linear operator. Due to the structure of $K$-frames, there are many differences between...
[ 3 ] - Continuous $k$-Fusion Frames in Hilbert Spaces
The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames which is important for frame applications, have been specified completely for the c...
[ 4 ] - Continuous $ k $-Frames and their Dual in Hilbert Spaces
The notion of $k$-frames was recently introduced by Gu avruc ta in Hilbert spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, we construct a continuous $k$-frame, so called c$k$-frame along with an atomic system ...
[ 5 ] - (C; C\')-Controlled g-Fusion Frames in Hilbert Spaces
Controlled frames in Hilbert spaces have been recently introduced by P. Balazs and etc. for improving the numerical efficiency of interactive algorithms for inverting the frame operator. In this paper we develop a theory based on g-fusion frames on Hilbert spaces, which provides exactly the frameworks not only to model new frames on Hilbert spaces but also for deriving robust operators. In part...
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