Results 21 to 30 of about 198,108 (300)
Controlled K−g−Fusion Frames in Hilbert C∗−Modules
International Journal of Analysis and Applications, 2022 Controlled frames have been the subject of interest because of its ability to improve the numerical efficiency of iterative algorithms for inverting the frame operator.
Mohamed Rossafi, Fakhr-dine Nhari
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Generalized fusion frame in Quaternionic Hilbert spaces
, 2022 We introduce the notion of a generalized fusion frame in quaternionic Hilbert space. A characterization of generalized fusion frame in quaternionic Hilbert space with the help of frame operator is being discussed.
Ghosh, Prasenjit
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Automotive radar image segmentation with frame fusion
, 2022 Image segmentation on automotive radar imagery is the key technique for identifying the passable and impassable regions for path planning in autonomous or assistive driving.
Cherniakov, Mike +7 more
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SOME IDENTITIES AND INEQUALITIES FOR G-FUSION FRAMES
Проблемы анализа, 2020 G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for gframes, which was given by Najati for a special case.
R. Zarghami Farfar, V. Sadri, R. Ahmadi
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Journal of Mathematical Analysis and Applications, 2008 The authors study generalized, i.e., \(g\)-frames in a Hilbert space \(U\), that is, sequences \((\Lambda_i)_{i\in I}\) of linear operators \(\Lambda_i:U\to V_i\) such that \[ A\| f\| ^2 \leq \sum_{i\in I} \| \Lambda_i f\| ^2 \leq B \| f\| ^2, \] for some positive constants \(A\) and \(B\).
Khosravi, Amir, Musazadeh, Kamran
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The effect of perturbations of frames and fusion frames on their redundancies [PDF]
Georgian Mathematical Journal, 2018 Abstract An interesting question about the perturbed sequences is: when do they inherit the properties of the original one? An elegant relation between frames (fusion frames) and their perturbations is the relation of their redundancies. In this paper, we investigate these relationships.
Rahimi, Asghar +2 more
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On the duality of frames and fusion frames
Hacettepe Journal of Mathematics and Statistics, 2017 Optimal frame bounds play a key role in many applications of frame theory, such as filter banks. In this paper, we study the relation between the bounds of a frame and its alternate dual and then present some approach to construct a family of Parseval frames. Also, we survey some problems on duals of fusion frames.
AREFİJAMAAL, Ali Akbar +2 more
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Relay fusion frames for Hilbert spaces
Journal of Inequalities and Applications, 2019 A new notion of frames, called the relay fusion frames, for Hilbert spaces has been introduced by the authors. It provides a mathematical framework for applications that require the transmission of signals over long distances or need to expand the ...
Guoqing Hong, Pengtong Li
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Oblique Dual Fusion Frames [PDF]
Numerical Functional Analysis and Optimization, 2018 We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals, considered as elements in a Hilbert space and under certain consistency requirements, are analyzed in one subspace and are reconstructed in another subspace.
Heineken, Sigrid Bettina +1 more
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Generalized fusion frame in tensor product of Hilbert spaces
, 2021 Generalized fusion frame and some of their properties in tensor product of Hilbert spaces are described. Also, the canonical dual g-fusion frame in tensor product of Hilbert spaces is considered.
Samanta, Tapas Kumar, Ghosh, Prasenjit
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