Increasing the Hilbert space dimension using a single coupled molecular spin. [PDF]
Nat Commun, 2021 Biard H +5 more
europepmc +1 more source
Definable Operators on Hilbert Spaces
Notre Dame Journal of Formal Logic, 2012 Let H be an infinite-dimensional (real or complex) Hilbert space, viewed as a metric structure in its natural signature. We characterize the definable linear operators on H as exactly the "scalar plus compact" operators.
openaire +5 more sources
An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
wiley +1 more source
On the Reconstruction of Planar Vector Fields From Its Longitudinal and Transverse Ray Transform
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider a planar vector tomography problem of reconstructing a complex‐valued vector field from the (complete and partial) information of its longitudinal and transverse ray transforms, as well as from one of those transforms and its first moment.
Kamran Sadiq
wiley +1 more source
Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
europepmc +1 more source
Simplified Anisotropic IVIM Using Spherical Means and an Application in the Placenta
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To reduce the complexity associated with anisotropic IVIM modeling, we derived two simplified diffusion MRI models that map the apparent diffusivity, relative proportions, and anisotropy of perfusion‐ and diffusion‐related signal components and demonstrated them in placenta scans.
Paddy J. Slator +8 more
wiley +1 more source
On bidual bases in the space of symmetric analytic functions on $ell_{1}$
Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider a special Hilbert space of symmetric analytic functions on$ell_1$ and construct a pair of bidual bases of polynomials.}{Hilbert space, symmetricanalytic functions, bidual ...
O. M. Holubchak, A. V. Zagorodnyuk
doaj
Fixed Point and Acute Point Theorems for New Mappings in a Banach Space
Journal of Mathematics, 2019 In a Hilbert space, concepts of attractive point and acute point are studied by many researchers. Moreover, these concepts extended to Banach space. In this paper, we introduce a new class of mappings on Banach space corresponding to the class of all ...
Toshiharu Kawasaki
doaj +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop and validate a repeatable and reproducible approach, QuantoRAGE, for simultaneous whole‐brain T1 and T2 mapping using adiabatic magnetization preparation. Methods QuantoRAGE is a 3D FLASH‐based sequence using an adiabatic T2‐prepared inversion followed by two readout blocks.
Natalia Pato Montemayor +21 more
wiley +1 more source
Iteratively regularized Gauss-Newton type methods for approximating quasi-solutions of irregular nonlinear operator equations in Hilbert space with an application to COVID-19 epidemic dynamics. [PDF]
Appl Math Comput, 2022 Kokurin MM, Kokurin MY, Semenova AV.
europepmc +1 more source