Results 61 to 70 of about 50,797 (262)
On Discrete Time Wilson Systems
Journal of Mathematics, 2020 In this paper, we define the discrete time Wilson frame (DTW frame) for l2ℤ and discuss some properties of discrete time Wilson frames. Also, we give an interplay between DTW frames and discrete time Gabor frames.
Teena Kohli, Suman Panwar, S. K. Kaushik
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Translating whole‐genome doubling into precision medicine in cancer
Molecular Oncology, EarlyView.Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
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Operational Quantum Frames: An operational approach to quantum reference frames
, 2023 Submitted as a Ph.D.
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Simple Construction of a Frame which is $epsilon$-nearly Parseval and $epsilon$-nearly Unit Norm [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we will provide a simple method for starting with a given finite frame for an $n$-dimensional Hilbert space $mathcal{H}_n$ with nonzero elements and producing a frame which is $epsilon$-nearly Parseval and $epsilon$-nearly unit norm. Also,
Mohammad Ali Hasankhani Fard
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PANoptosis in the pathogenesis of myelodysplastic syndromes
Molecular Oncology, EarlyView.PANoptosis, a combination of three types of programmed cell death, is mediated by a large protein complex called a PANoptosome. In healthy bone marrow hematopoietic cells, PANoptosis is restricted by inhibitory signaling. In MDS, bone marrow cells become sensitive to the PANoptotic stimuli due to the aberrant inactivation of inhibitory signaling or ...
Rohit Thalla +4 more
wiley +1 more source
Localization of Operator-Valued Frames
Applied and Computational Harmonic AnalysisWe introduce a localization concept for operator-valued frames, where the quality of localization is measured by the associated operator-valued Gram matrix belonging to some suitable Banach algebra. We prove that intrinsic localization of an operator-valued frame is preserved by its canonical dual.
L. Köhldorfer, P. Balazs
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Molecular Oncology, EarlyView.This study identifies somatostatin receptor 4 (Sstr4) as a critical tumor suppressor against skin and head/neck cancers (HNSCC, cSCC, and BCC). The loss of Sstr4 removes a check on cell growth, causing hyperactivation of the MAPK‐ERK signaling pathway (↑).
Ali Taqvi +6 more
wiley +1 more source
Filtration safe operations on frames [PDF]
, 2014 Filtration is a standard tool for establishing the finite model property of modal logics. We consider logics and classes of frames that admit filtration, and identify some operations on them that preserve this property. In particular, the operation of adding the inverse or the transitive closure of a relation is shown to be safe in this sense.These ...
Kikot, Stanislav +2 more
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Approximation of the Inverse Frame Operator and Applications to Gabor Frames
Journal of Approximation Theory, 2000 Recall that a countable family \(f_i\) in a Hilbert space is a frame if \(A\|f\|^2\leq\sum|\langle f,f_i\rangle|^2\leq B\|f\|^2\). The frame operator is \(Sf=\sum\langle f,f_i\rangle f_i\). It is known that \(f=\sum\langle f,S^{-1}f_i\rangle f_i\). If \(H_n=\text{span}\{f_1,\ldots,f_n\}\) and \(S_n=\sum_{i\leq n}\langle f,f_i\rangle f_i\), it is proved
Casazza, Peter G., Christensen, Ole
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Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces
Abstract and Applied Analysis, 2014 We first investigate the construction of a fusion frame system in a finite-dimensional Hilbert space 𝔽n when its fusion frame operator matrix is given and provides a corresponding algorithm.
Jinsong Leng, Tingzhu Huang
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