Results 51 to 60 of about 9,956,543 (298)
Distributional boundary values of analytic functions and positive definite distributions
We propose necessary and sufficient conditions for a distribution (generalized function) fof several variables to be positive definite. For this purpose, certain analytic extensions of f to tubular domains in complex space Cn are studied. The main result
Saulius Norvidas
doaj +1 more source
ABSTRACT Background We aimed to identify the proportion of individuals with a confirmed diagnosis of childhood absence epilepsy (CAE) or juvenile absence epilepsy (JAE) who show a negative routine EEG (rEEG), and to determine the main factors associated with this finding.
Francesco Fortunato +7 more
wiley +1 more source
Sampled-Data Control of Singular Systems with Time Delays
This paper is concerned with sampled-data controller design for singular systems with time delay. It is assumed that the sampling periods are arbitrarily varying but bounded.
Zheng Minjie +3 more
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Endothelial Cell Proteins as Biomarkers in Susac Syndrome
ABSTRACT Objective Susac syndrome (SS) is a rare CD8+ T cell–mediated microangiopathy affecting the brain, retina, and auditory labyrinth. Endothelial injury is thought to be a central mechanism; however, no circulating disease biomarkers are known. We performed targeted proteomic profiling to identify circulating endothelial‐associated proteins as ...
Rohit Benjamin +11 more
wiley +1 more source
Multidimensional negative definite functions on the product of commutative hypergroups
The main aim of this paper is to give the integral representations for the so called multidimensional negative definite functions defined on the product of commutative hypergroups.
Hossam A Ghany
doaj
ON ITERATED POWERS OF POSITIVE DEFINITE FUNCTIONS [PDF]
We prove that if ${\it\rho}$ is an irreducible positive definite function in the Fourier–Stieltjes algebra $B(G)$ of a locally compact group $G$ with $\Vert {\it\rho}\Vert _{B(G)}=1$, then the iterated powers $({\it\rho}^{n})$ as a sequence of unital completely positive maps on the group $C^{\ast }$-algebra converge to zero in the strong operator ...
openaire +2 more sources
Data‐Driven SuStaIn Model of Disability Progression in Amyotrophic Lateral Sclerosis
ABSTRACT Objective To determine whether ordinal Subtype and Stage Inference (SuStaIn) applied to routine ALSFRS‐R item scores can identify reproducible disability progression patterns in amyotrophic lateral sclerosis (ALS) and provide clinically meaningful staging.
Giammarco Milella +5 more
wiley +1 more source
Wiener’s problem for positive definite functions [PDF]
17 ...
Gorbachev, D. V., Tikhonov, S. Yu.
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Diffuse MRI Edema Predicts Relapse in Cerebral Amyloid Angiopathy–Related Inflammation
ABSTRACT Objective To identify MRI predictors of relapse and quantify relapse and mortality risk in cerebral amyloid angiopathy–related inflammation (CAA‐RI). A secondary objective was to assess the association between mycophenolate mofetil use and relapse risk. Methods We performed a retrospective cohort study of 36 patients with CAA‐RI treated at the
G. Abbas Kharal +10 more
wiley +1 more source
We prove, for two free semicircularly distributed selfadjoint elements a and b in a type II1 von Neumann algebra with faithful trace τ, that the function t∈ℝ↦τ(exp(a+itb)) is positive definite.
Mark Fannes, Dénes Petz
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