Results 31 to 40 of about 413 (185)
Product and Commutativity of kth-Order Slant Toeplitz Operators
The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed.
Chaomei Liu, Yufeng Lu
doaj +1 more source
Beyond the Non‐Hermitian Skin Effect: Scaling‐Controlled Topology from Exceptional‐Bound Bands
ABSTRACT We establish a novel mechanism for topological transitions in non‐Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional‐bound (EB) band engineering, its mechanism hinges on the unique critical scaling behavior near an exceptional point, totally unrelated to the well‐known non‐Hermitian skin ...
Mengjie Yang, Ching Hua Lee
wiley +1 more source
Fine Spectra of Symmetric Toeplitz Operators
The fine spectra of 2-banded and 3-banded infinite Toeplitz matrices were examined by several authors. The fine spectra of n-banded triangular Toeplitz matrices and tridiagonal symmetric matrices were computed in the following papers: Altun, “On the fine
Muhammed Altun
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Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation
Asymmetric truncated Hankel operators are the natural generalization of truncated Hankel operators. In this paper, we determine all rank one operators of this class.
Firdaws Rahmani, Yufeng Lu, Ran Li
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Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
wiley +1 more source
Toeplitz Operators, Pseudo-Homogeneous Symbols, and Moment Maps on the Complex Projective Space
Following previous works for the unit ball due to Nikolai Vasilevski, we define quasi-radial pseudo-homogeneous symbols on the projective space and obtain the corresponding commutativity results for Toeplitz operators. A geometric interpretation of these
Miguel Antonio Morales-Ramos +2 more
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ABSTRACT Purpose To achieve high resolution (≤ 1 mm isotropic) whole‐brain perfusion imaging at 7 T with next generation ASL pulse sequence, reconstruction algorithm, and MRI hardware. Methods We capitalized on three major innovations: (1) FLASH‐based pseudo‐Continuous ASL (pCASL) sequence with rotated golden‐angle stack‐of‐spirals (rGA‐SoS) sampling; (
Chenyang Zhao +8 more
wiley +1 more source
Rank-one perturbation of Toeplitz operators and reflexivity [PDF]
It was shown that rank-one perturbation of the space of Toeplitz operators preserves \(2\)-hyperreflexivity.
Kamila Kliś-Garlicka
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Coil Sketching for Fast and Efficient 4D Lung MRI Reconstruction
ABSTRACT Purpose To develop and evaluate a memory‐efficient and accelerated reconstruction framework for respiratory‐resolved 4D lung MRI using coil sketching and Toeplitz approximation, enabling high‐quality motion‐compensated low‐rank (MoCo‐LR) reconstructions on clinically accessible GPU hardware.
Joseph W. Plummer +7 more
wiley +1 more source
ABSTRACT Purpose Previous studies suggested that arterial‐input‐function (AIF) images are necessary to avoid signal saturation for pulmonary transit time (PTT) measurements. This study challenges that notion by investigating whether PTT can be accurately measured using blood pool signals from myocardial enhancement (non‐AIF) images during resting first‐
Mingyue Zhao +8 more
wiley +1 more source

