Results 31 to 40 of about 403,869 (278)
Nonhomogeneous Wavelet Dual Frames and Extension Principles in Reducing Subspaces
It can be seen from the literature that nonhomogeneous wavelet frames are much simpler to characterize and construct than homogeneous ones. In this work, we address such problems in reducing subspaces of L2ℝd. A characterization of nonhomogeneous wavelet
Jianping Zhang, Huifang Jia
doaj +1 more source
Supervised dual tight frame learning with deep thresholding network for phase retrieval
Data‐driven tight frames are popular for solving imaging inverse problems. However, the imaging quality is limited by the representation ability of single tight frame and thresholds tuned manually.
Baoshun Shi, Qiusheng Lian, Yueming Su
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Designing Gabor windows using convex optimization
Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor system, constructed from the minimal l2-norm dual window, is widely used. This window function however, might lack desirable properties, e.g.
Balazs, Peter +3 more
core +1 more source
Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones such as g-orthonormal bases, g-Riesz bases, and normalized tight g-frames.
Xunxiang Guo
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On Continuous Frames in Hilbert $C^*$-Modules [PDF]
In the present paper, we study continuous frames in Hilbert $C^*$-modules and present some results of these frames. Next, we give the concept of dual continuous frames in Hilbert $C^*$-modules and investigate some properties of them. Also, by introducing
Hadi Ghasemi, Tayebe Lal shateri
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Frames generated by double sequences in Hilbert spaces [PDF]
In this paper, we introduce frames generated by double sequences (d-frame) in Hilbert spaces and describe some of their properties. Furthermore, we discuss frame operators, alternate dual frames and stability for d-frames.
Biswas Narendra +2 more
doaj
Some New Inequalities for Dual Continuous g-Frames
In the present paper, we establish new inequalities for dual continuous generalized frames by adopting operator methods. The inequalities are parameterized by the parameter λ ∈ R .
Yanling Fu, Wei Zhang
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
wiley +1 more source
SOME IDENTITIES AND INEQUALITIES FOR G-FUSION FRAMES
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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Orthogonal Frames in Krein Spaces
In this paper, we introduce the concept of orthogonal frames in Krein spaces, prove the independence of the choice of the fundamental symmetry, and from this, we obtain a number of interesting properties that they satisfy.
Osmin Ferrer, Arley Sierra, Osvaldo Polo
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