Results 41 to 50 of about 2,224,797 (293)
On the asymptotic expansion of certain plane singular integral operators
Boundary Value Problems, 2017 We discuss the problem of the asymptotic expansion for some operators in a general theory of pseudo-differential equations on manifolds with borders. Using the distribution theory one obtains certain explicit representations for these operators.
Vladimir Vasilyev
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Neurochemical levels measured by brain MR spectroscopy (MRS) have been proposed as endpoints for clinical trials in early‐stage spinocerebellar ataxia (SCA) trials. We tested their trial‐readiness by quantifying neurochemicals in three affected brain regions in early‐stage cohorts of SCA2 and SCA3, examining their reproducibility in ...
James M. Joers +19 more
wiley +1 more source
Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces
Revista Integración, 2018 In this note we announce our investigation on the Lp properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators by showing classical multilinear ...
Duván Cardona, Vishvesh Kumar
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Deep Learning Pose Estimation for Phenotyping of Co‐Occurring Hyperkinetic Movement Disorders
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore whether routine outpatient video combined with deep learning‐based pose estimation and clinically interpretable kinematic features can support multi‐label phenotyping of co‐occurring hyperkinetic movement disorders (HMDs).
Laura Cif +17 more
wiley +1 more source
Endpoint boundedness of toroidal pseudo-differential operators
Open MathematicsIn this note, we prove that the toroidal pseudo-differential operator is bounded from L∞(Tn){L}^{\infty }\left({{\mathbb{T}}}^{n}) to BMO(Tn){\rm{BMO}}\left({{\mathbb{T}}}^{n}) if the symbol belongs to the toroidal Hörmander class Sρ,δn(ρ−1)∕2(Tn×Zn){S}_{
Ramla Benhamoud
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Multiplication properties in pseudo-differential calculus with small regularity on the symbols
, 2010 We consider modulation space and spaces of Schatten–von Neumann symbols where corresponding pseudo-differential operators map one Hilbert space to another.
Toft, Joachim,
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Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad +22 more
wiley +1 more source
On the lowest eigenvalue of a pseudo-differential operator [PDF]
Proceedings of the National Academy of Sciences, 1979 Positive lower bounds for pseudo-differential operators with nonnegative symbols are derived; the bounds in particular yield subelliptic estimates for operators arising as sums of squares of vector fields.
Fefferman, C., Phong, D. H.
openaire +2 more sources
, 2011 We investigate mapping properties for the Bargmann transform on an extended family ofmodulation spaces whose weights and their reciprocals are allowed to grow faster than exponentials.
Toft, Joachim,, Joachim Toft
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Stage‐Specific Patterns of Imaging and Non‐Motor Biomarkers in Spinocerebellar Ataxia Type 3
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Advancements in disease‐modifying therapies for spinocerebellar ataxia Type 3 (SCA3) underscore the need for robust biomarkers to monitor disease progression and evaluate treatment efficacy. Although motor phenotypes have been well characterized, less is known about non‐motor and imaging‐based features across different disease stages.
Chun Li +17 more
wiley +1 more source