عنوان مجله
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International Journal of Wavelets Multiresolution and Information Processing
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چکیده
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In this paper, we introduce and characterize controlled dual frames in Hilbert spaces.
We also investigate the relation between bounds of controlled frames and their related
frames. Then, we define the concept of approximate duality for controlled frames in
Hilbert spaces. Next, we introduce multiplier operators of controlled frames in Hilbert
spaces and investigate some of their properties. Finally, we show that the inverse of a
controlled multiplier operator is also a controlled multiplier operator under some mild
conditions.
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