Results 51 to 60 of about 148,763 (276)

Convolution powers in the operator-valued framework

, 2011
We consider the framework of an operator-valued noncommutative probability space over a unital C*-algebra B. We show how for a B-valued distribution \mu one can define convolution powers with respect to free additive convolution and with respect to ...
Anshelevich, Michael, Belinschi, Serban T., Fevrier, Maxime, Nica, Alexandru   +3 more
core   +3 more sources

Solvability of Convolution Operators

Publications of the Research Institute for Mathematical Sciences, 1994
We study the Surjectivity of convolution operators on the spaces of hyperfunctions and Fourier hyperfunctions. On the space of hyperfunctions, we give a sufficient condition (the kernel is a nonzero ultradistribution), weaker than earlier conditions. On the space of Fourier hyperfunction, we give a new sufficient condition and new necessary conditions ...
openaire   +3 more sources

Insights Into the Antigenic Repertoire of Unclassified Synaptic Antibodies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective We sought to characterize the sixth most common finding in our neuroimmunological laboratory practice (tissue assay‐observed unclassified neural antibodies [UNAs]), combining protein microarray and phage immunoprecipitation sequencing (PhIP‐Seq). Methods Patient specimens (258; 133 serums; 125 CSF) meeting UNA criteria were profiled;
Michael Gilligan, John R. Mills, Paulina Vargas, Naveen K. Paramasivan, Connie E. Lesnick, Eati Basal, Surendra Dasari, James P. Fryer, Shannon R. Hinson, Joseph Laporta, Amy Espinal, Dennis Fitzgerald, Carolina Garcia, Anna E. Morenkova, Paola Pergami, Anna Shah, Andrew Knight, Reghann LaFrance Corey, Vanda A. Lennon, Anastasia Zekeridou, Sean J. Pittock, Divyanshu Dubey, Andrew McKeon   +22 more
wiley   +1 more source

Fluid and Neuroimaging Biomarkers in Microgliopathy Colony‐Stimulating Factor‐1 Receptor‐Related Disorders

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective This study aims to identify both fluid and neuroimaging biomarkers for CSF1R‐RD that can inform the optimal timing of treatment administration to maximize therapeutic benefit, while also providing sensitive quantitative measurements to monitor disease progression.
Tomasz Chmiela, Madison Reeves, Karen Jansen‐West, Judith Dunmore, Yuping Song, Audrey Strongosky, Sunil Gandhi, Gilana Pikover, Matt Blurton‐Jones, Robert C. Spitale, Erik H. Middlebrooks, Leonard Petrucelli, Mercedes Prudencio, Zbigniew K. Wszolek   +13 more
wiley   +1 more source

Self-Convolution and Its Invariant Properties for the Kernel Function of the Aortic Fractal Operator

Fractal and Fractional
In this paper, we explore the self-convolution of the kernel function of the aortic fractal operator. Previous research has established a model named “physical fractal”, and confirmed that the hemodynamics of the aorta can be inscribed by a fractal ...
Chaoqian Luo, Yajun Yin, Gang Peng, Tianyi Zhou, Xiaobin Yu, Dongan Li   +5 more
doaj   +1 more source

The range of convolution operators [PDF]

Pacific Journal of Mathematics, 1984
Es sei G eine lokalkompakte, nicht-kompakte Gruppe und f eine p-fach \((p>1)\) integrierbare Funktion auf G. Der Autor zeigt, daß der Unterraum \(L^ 1(G)*f\) von \(L^ p(G)\) nicht abgeschlossen ist, falls f von Null verschieden ist. Mit Hilfe des Faktorisierungssatzes kann man daraus herleiten, daß auch M(G)*f nicht abgeschlossen ist, wobei M(G) die ...
openaire   +3 more sources

Deep Learning–Assisted Differentiation of Four Peripheral Neuropathies Using Corneal Confocal Microscopy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Peripheral neuropathies contribute to patient disability but may be diagnosed late or missed altogether due to late referral, limitation of current diagnostic methods and lack of specialized testing facilities. To address this clinical gap, we developed NeuropathAI, an interpretable deep learning–based multiclass classification ...
Chaima Ben Rabah, Ioannis N. Petropoulos, Mark Stettner, Maryam Ferdousi, Uazman Alam, Nathan Efron, Ahmed Serag, Rayaz A. Malik   +7 more
wiley   +1 more source

A note on certain convolution operators

, 2013
In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.Comment: 10 ...
Nayar, Piotr, Tkocz, Tomasz
core   +1 more source

Prediction of Myasthenia Gravis Worsening: A Machine Learning Algorithm Using Wearables and Patient‐Reported Measures

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Myasthenia gravis (MG) is a rare disorder characterized by fluctuating muscle weakness with potential life‐threatening crises. Timely interventions may be delayed by limited access to care and fragmented documentation. Our objective was to develop predictive algorithms for MG deterioration using multimodal telemedicine data ...
Maike Stein, Haoqi Sun, Sophie Lehnerer, Lea Gerischer, Maximilian Mönch, Christian Meisel, Andreas Meisel, Pushpa Narayanaswami   +7 more
wiley   +1 more source

Convolution equation and operators on the euclidean motion group

Journal of Nigerian Society of Physical Sciences
Let $G = \mathbb{R}^2\rtimes SO(2)$  be the Euclidean motion group, let g be the Lie algebra of G and let U(g) be the universal enveloping algebra of g.
U. N. Bassey, U. E. Edeke
doaj   +1 more source