Results 11 to 20 of about 1,076,716 (239)

Coil Sketching for Fast and Efficient 4D Lung MRI Reconstruction. [PDF]

open access: yesMagn Reson Med
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.
Plummer JW   +7 more
europepmc   +2 more sources

Online Spatiotemporally Constrained Reconstruction for Real-Time Interactive MRI. [PDF]

open access: yesMagn Reson Med
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
Le DH   +4 more
europepmc   +2 more sources

Toeplitz and slant Toeplitz operators on the polydisk [PDF]

open access: yesArab Journal of Mathematical Sciences, 2021
For n ≥ 1, let Dn be the polydisk in ℂn, and let Tn be the n-torus. L2(Tn) denotes the space of Lebesgue square integrable functions on Tn. In this paper we define slant Toeplitz operators on L2(Tn).
Munmun Hazarika, Sougata Marik
doaj   +1 more source

Toeplitz Operators on the Fock Space with Quasi-Radial Symbols [PDF]

open access: yesComplex Analysis and Operator Theory, 2021
The Fock space F(Cn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document ...
Vishwa Dewage, G. Ólafsson
semanticscholar   +1 more source

Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space

open access: yesJournal of Mathematics, 2023
In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness.
Li He, Biqian Wu
doaj   +1 more source

Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators

open access: yesOpen Mathematics, 2021
In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
doaj   +1 more source

Remarks on hyponormal Toeplitz operators with nonharmonic symbols

open access: yesOpen Mathematics, 2023
In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator Tφ{T}_{\varphi } on the Bergman space A2(D){A}^{2}\left({\mathbb{D}}).
Kim Sumin, Lee Jongrak
doaj   +1 more source

The Norm of a Truncated Toeplitz Operator [PDF]

open access: yes, 2009
We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the $H^2$ and $H^{\infty}$ norms of functions in model spaces.
S. Garcia, W. Ross
semanticscholar   +1 more source

Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators

open access: yesComptes Rendus. Mathématique, 2023
In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi ...
Ramesh, Golla, Sequeira, Shanola S.
doaj   +1 more source

A Toeplitz-type operator on Hardy spaces in the unit ball [PDF]

open access: yesTransactions of the American Mathematical Society, 2018
We study a Toeplitz type operator $Q_\mu$ between the holomorphic Hardy spaces $H^p$ and $H^q$ of the unit ball. Here the generating symbol $\mu$ is assumed to a positive Borel measure.
Jordi Pau, A. Perala
semanticscholar   +1 more source

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