Results 51 to 60 of about 13,564,364 (338)
A modification of Hardy-Littlewood maximal function on Lie groups [PDF]
AUT Journal of Mathematics and ComputingFor a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
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Evolutionary interplay between viruses and R‐loops
FEBS Letters, EarlyView.Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
wiley +1 more source
On Square-Integrable Representations of A Lie Group of 4-Dimensional Standard Filiform Lie Algebra
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 In this paper, we study irreducible unitary representations of a real standard filiform Lie group with dimension equals 4 with respect to its basis. To find this representations we apply the orbit method introduced by Kirillov. The corresponding orbit of
Edi Kurniadi
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Single‐cell insights into the role of T cells in B‐cell malignancies
FEBS Letters, EarlyView.Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
wiley +1 more source
Soft shape registration under Lie group frame
IET Computer Vision, 2013 In this study, the authors address a two‐dimensional (2D) shape registration problem on data with anisotropic‐scale deformation and noise. First, the model is formulated under the iterative closest point (ICP) framework, which is one of the most popular ...
Yaxin Peng +3 more
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Automatika, 2021 We address several problems of coordination and consensus on $ SO(3) $ and $ S^3 $ that can be formulated as minimization problems on these Lie groups.
Aladin Crnkić +3 more
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Bulletin of the American Mathematical Society, 1942 Not ...
Montgomery, Deane, Zippin, Leo
openaire +3 more sources
Cyclic nucleotide signaling as a drug target in retinitis pigmentosa
FEBS Letters, EarlyView.Disruptions in cGMP and cAMP signaling can contribute to retinal dysfunction and photoreceptor loss in retinitis pigmentosa. This perspective examines the mechanisms and evaluates emerging evidence on targeting these pathways as a potential therapeutic strategy to slow or prevent retinal degeneration.
Katri Vainionpää +2 more
wiley +1 more source
Lie Group Method of the Diffusion Equations
Advances in Mathematical Physics, 2014 The diffusion equation is discretized in spacial direction and transformed into the ordinary differential equations. The ordinary differential equations are solved by Lie group method and the explicit Runge-Kutta method. Numerical results showed that Lie
Jian-Qiang Sun +3 more
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FEBS Letters, EarlyView.Three‐dimensional (3D) biological systems have become key tools in lymphoma research, offering reliable in vitro and ex vivo platforms to explore pathogenesis and support precision medicine. This review highlights current 3D non‐Hodgkin lymphoma models, detailing their features, advantages, and limitations, and provides a broad perspective on future ...
Carla Faria +3 more
wiley +1 more source