Results 41 to 50 of about 211 (142)
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
Dual H-Toeplitz operators on the harmonic Bergman space
UDC 517.9 We mainly generalize the operators $K$ and $K^{*}$ on the Bergman space to the orthogonal complement of the harmonic Bergman space, in order to define dual H-Toeplitz operators on the harmonic Bergman space and discuss the commutativity and compactness of the dual H-Toeplitz operators.
Ran Li, Minghao Sun, Di Bing
openaire +1 more source
Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +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
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
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
Bergman 공간 위의 Toeplitz 작용소에 관한 연구 [PDF]
학위논문(박사) - 한국과학기술원 : 수학과(복소해석학전공), 1994.2, [ 94 p. ; ]In this thesis, we are concerned with Toeplitz operators acting on the Bergman spaces of the unit ball in the n-dimensional complex space $C^n$.
이영주, Lee, Young-Joo
core
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
The Gabor wave front set in spaces of ultradifferentiable functions [PDF]
[EN] We consider the spaces of ultradifferentiable functions S as introduced by Bjorck (and its dual S) and we use time-frequency analysis to define a suitable wave front set in this setting and obtain several applications: global regularity properties ...
Jornet Casanova, David +4 more
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

