Results 21 to 30 of about 190,901 (260)
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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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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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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Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate
Morteza Mirzaee Azandaryani
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A note on perturbations of fusion frames [PDF]
Journal of Mathematical Analysis and Applications, 2018 In this work, we consider some relationships between a closed range operator $T$ and a fusion frame $\mathcal{W}=(W_i,w_i)_{i\in I}$ for a Hilbert space $\mathcal{H}$ that provides that the sequence $(\overline{T(W_i)},v_i)_{i\in I}$ is a fusion frame sequence for $\mathcal{H}$, if we consider a suitable family of weights $\{v_i\}_{i\in I}$.
Calderón, Pablo Luis +1 more
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Frontiers in Oncology, 2023 NTRK fusions are validated oncogenic drivers of various adult and pediatric tumor types, including thyroid cancer, and serve as a therapeutic target. Recently, tropomyosin receptor kinase (TRK) inhibitors, such as entrectinib and larotrectinib, display ...
Qing-Xiang Yu +6 more
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A Frame-by-Frame Glance at Membrane Fusion Mechanisms: From Viral Infections to Fertilization
Biomolecules, 2023 Viral entry and fertilization are distinct biological processes that share a common mechanism: membrane fusion. In viral entry, enveloped viruses attach to the host cell membrane, triggering a series of conformational changes in the viral fusion proteins.
Farshad C. Azimi +5 more
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Applied and Computational Harmonic Analysis, 2013 Fusion frames enable signal decompositions into weighted linear subspace components. For positive integers p, we introduce p-fusion frames, a sharpening of the notion of fusion frames. Tight p-fusion frames are closely related to the classical notions of designs and cubature formulas in Grassmann spaces and are analyzed with methods from harmonic ...
Bachoc, Christine, Ehler, Martin
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Relay fusion frames in Banach spaces
Open Mathematics, 2023 The relay fusion frames have been recently introduced in Hilbert spaces to model sensor relay networks and distributed sensor relay systems, which are deeply connected with compressed sensing.
Hong Guoqing, Li Pengtong
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Materials & Design, 2023 Lumbar fusion is a popular surgical procedure for the treatment of degenerative lumbar disc disease; however, it may be accompanied by complications, such as cage loosening, subsidence, and non-union.
Lincong Luo +11 more
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