Results 51 to 60 of about 205 (147)
Multivariate Polynomials, Duality, and Structured Matrices [PDF]
We first review the basic properties of the well known classes of Toeplitz, Hankel, Vandermonde, and other related structured matrices and re-examine their correlations to operations with univariate polynomials.
Victor Y. Pan +5 more
core +3 more sources
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
Topologizability and Power Boundedness of Convolutions and Toeplitz Operators on Power Series Spaces [PDF]
We characterize the topologizability and power boundedness of convolution and dual convolution operators on power series spaces.We determine necessary conditions for a Toeplitz operator to be m-topologizable, and power bounded on 1(n) and ∞(n), and ...
Doğan, Nazlı
core +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
Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley +1 more source
Berezin-type operators on the cotangent bundle of a nilpotent group [PDF]
We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product Xi := G x g(#) between a connected simply connected nilpotent Lie group and the dual of its Lie algebra.
M. Măntoiu, Mantoiu, Marius
core +1 more source
Online Spatiotemporally Constrained Reconstruction for Real‐Time Interactive MRI
ABSTRACT Purpose To develop a low‐latency dynamic MRI reconstruction that provides better spatial and temporal fidelity than contemporary online reconstruction, for localization. Methods We utilize online spatiotemporally constrained reconstruction (STCR) using a computationally efficient augmented Lagrangian solution and a limited number of iterations
Duc H. Le +4 more
wiley +1 more source
Toeplitz Operators on Locally Compact Abelian Groups [PDF]
Let G be a non-discrete locally compact Abelian group, let Γ be its non-compact dual group, and let m and μ be Haar measures on G and Γ respectively, normalized so the Fourier inversion theorem holds.
Krieger, Henry A
core
Stability and Instability of Time‐Domain Boundary Element Methods for the Acoustic Neumann Problem
ABSTRACT This work presents a stable time‐domain boundary element method for the acoustic wave equation in three‐dimensional unbounded domains. Other formulations of time‐domain boundary element methods based on retarded potential operators are known to exhibit stability issues, which often hinder their use in industrial contexts.
Simon Schneider +4 more
wiley +1 more source
Inner functions and spherical isometries [PDF]
A commuting tuple T = ( T 1 , … , T n ) ∈ B ( H ) n T =(T_1, \ldots , T_n) \in ...
Michael Didas, Jörg Eschmeier
core +1 more source

