Results 11 to 20 of about 1,150,129 (227)
Coil Sketching for Fast and Efficient 4D Lung MRI Reconstruction. [PDF]
Magn Reson MedABSTRACT 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]
Magn Reson MedABSTRACT 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
Open 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
Unitary equivalence to a truncated Toeplitz operator: analytic symbols [PDF]
, 2010 Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
S. Garcia, Daniel E. Poore, W. Ross
semanticscholar +1 more source
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space [PDF]
, 2021 An estimate for the norm of selfadjoint Toeplitz operators with a radial, bounded and integrable symbol is obtained. This emphasizes the fact that the norm of such operator is strictly less than the supremum norm of the symbol.
A. Galbis
semanticscholar +1 more source
Remarks on hyponormal Toeplitz operators with nonharmonic symbols
Open 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
Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators
Comptes 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
Analytic Berezin–Toeplitz operators [PDF]
Mathematische Zeitschrift, 2021 We introduce new tools for analytic microlocal analysis on K hler manifolds. As an application, we prove that the space of Berezin-Toeplitz operators with analytic contravariant symbol is an algebra. We also give a short proof of the Bergman kernel asymptotics up to an exponentially small error.
openaire +2 more sources
The Norm of a Truncated Toeplitz Operator [PDF]
, 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
A Toeplitz-type operator on Hardy spaces in the unit ball [PDF]
Transactions 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