Compressions of Self-Adjoint Extensions of a Symmetric Operator and M.G. Krein’s Resolvent Formula
Let S be a symmetric operator with finite and equal defect numbers in the Hilbert space $${{\mathfrak {H}}}$$H. We study the compressions $$P_{{\mathfrak {H}}}\widetilde{A}\big |_{{\mathfrak {H}}}$$PHA~|H of the self-adjoint extensions $$\widetilde{A}$$A~
A. Dijksma, H. Langer
semanticscholar +1 more source
Spectral proper orthogonal decomposition and resolvent analysis of near-wall coherent structures in turbulent pipe flows [PDF]
Direct numerical simulations, performed with a high-order spectral-element method, are used to study coherent structures in turbulent pipe flow at friction Reynolds numbers $Re_{\tau } = 180$ and $550$.
Leandra I. Abreu +4 more
semanticscholar +1 more source
Ablowitz-Ladik system with discrete potential. I. Extended resolvent
Ablowitz-Ladik linear system with range of potential equal to {0,1} is considered. The extended resolvent operator of this system is constructed and the singularities of this operator are analyzed in detail.Comment: To be published in Theor.
A. Bobenko +22 more
core +1 more source
An intracellular transporter mitigates the CO2‐induced decline in iron content in Arabidopsis shoots
This study identifies a gene encoding a transmembrane protein, MIC, which contributes to the reduction of shoot Fe content observed in plants under elevated CO2. MIC is a putative Fe transporter localized to the Golgi and endosomal compartments. Its post‐translational regulation in roots may represent a potential target for improving plant nutrition ...
Timothy Mozzanino +7 more
wiley +1 more source
An invitation to resolvent analysis [PDF]
Resolvent analysis is a powerful tool that can reveal the linear amplification mechanisms between the forcing inputs and the response outputs about a base flow.
L. V. Rolandi +3 more
semanticscholar +1 more source
A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue +6 more
wiley +1 more source
Generalized Implicit Set-Valued Variational Inclusion Problem with ⊕ Operation
In this paper, we consider a resolvent operator which depends on the composition of two mappings with ⊕ operation. We prove some of the properties of the resolvent operator, that is, that it is single-valued as well as Lipschitz-type-continuous. An
Rais Ahmad +4 more
doaj +1 more source
Relatively tauberian resolvent operators
Let \(X\) be a complex Banach space. We say that a closed linear operator \(A\) generates a uniformly bounded resolvent family (UBR), if \(\{\alpha\in R: \alpha >0\} \subset \rho (A)\) and there is a constant \(K>0\) such that \(|\alpha (\alpha I-A)^{-1} |\leq K\) for every \(\alpha>0\).
openaire +1 more source
By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
wiley +1 more source
Uniform resolvent convergence for strip with fast oscillating boundary
In a planar infinite strip with a fast oscillating boundary we consider an elliptic operator assuming that both the period and the amplitude of the oscillations are small.
Amirat +51 more
core +1 more source

