Results 21 to 30 of about 1,371 (181)

A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant

open access: yesBoundary Value Problems, 2017
Our main aim in this paper is to obtain a new type of boundary integral behaviors of harmonic functions in a smooth cone. As an application, the least harmonic majorant of a nonnegative subharmonic function is also given.
Minghua Han, Jianguo Sun, Gaoying Xue
doaj   +1 more source

Subharmonic functions and electric fields in ball layers. II [PDF]

open access: yesМатематичні Студії, 2011
In this sequel to cite{GK} we study a special case $BL(frac{1}{r},r)$, $r>1$. Alsothe explicit representation of a subharmonic extension for a subharmonic function $u(x)$ near a removable point is obtained.
O. P. Gnatiuk, A. A. Kondratyuk
doaj  

Analysis of the Underwater Wireless Optical Communication Channel Based on a Comprehensive Multiparameter Model

open access: yesApplied Sciences, 2021
A comprehensive multiparameter model is proposed for underwater wireless optical communication (UWOC) channels to integrate the effects of absorption, scattering, and dynamic turbulence.
Rujun Cai   +4 more
doaj   +1 more source

On McConnell’s inequality for functionals of subharmonic functions [PDF]

open access: yesPacific Journal of Mathematics, 1987
\textit{T. R. McConnell} [Indiana Univ. Math. J. 33, 289-303 (1984; Zbl 0508.31005)] showed that if u(x,t) is a non-negative subharmonic function defined on \({\mathbb{R}}_+^{n+1}=\{(x,t):\quad x\in {\mathbb{R}}^ n,\quad t>0\},\) and if \[ N(x)=\sup \{u(y,t):\quad (y,t)\in \Gamma_ 1(x)\}\quad and\quad S(x)=\iint_{(y,t)\in \Gamma_ 1(x)}t^{1-n}\Delta u(x,
openaire   +2 more sources

On subharmonic functions [PDF]

open access: yesBulletin of the American Mathematical Society, 1943
Not ...
openaire   +2 more sources

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

open access: yesAdvanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

On growth majorants of subharmonic functions [PDF]

open access: yesМатематичні Студії, 2011
We describe growth majorants of subharmonic in R^m (m≥2) functions. To do this, we exceptionally reduce the problem to problems in the theory of positive monotonous functions.
Yu. S. Protsyk, Ya. V. Vasyl’kiv
doaj  

On Interpolation in Hardy- Orlicz Spaces [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2012
The Hardy-Orlicz space Hφ is the space of all analytic functions f on the open unit disk D such that the subharmonic function φ(| f |) has a harmonic majorant on D , where φ is a modulus function.
Mahmud Masri
doaj   +1 more source

Decoding Finely Tuned Gamma Oscillations in Chronic Deep Brain Stimulation for Parkinson's Disease

open access: yesMovement Disorders, EarlyView.
Abstract Background Finely tuned Gamma (FTG) activity—spontaneous narrowband Gamma oscillations (sFTG) or entrained to half the stimulation frequency (eFTG)—is typically linked to on‐medication states and dyskinesia in Parkinson's disease (PD), making it a potential physiomarker for adaptive deep brain stimulation (aDBS).
Marjolein Muller   +8 more
wiley   +1 more source

Subharmonic functions of finite (γ,ε) -type in a half-plane [PDF]

open access: yesМатематичні Студії, 2012
We obtain criterions for delta-subharmonic function to belong to the class of functions of finite (γ,ε) )-type in a half-plane. These criterions are formulated in terms of Fourier coefficients of a function.
K. G. Malyutin, I. I. Kozlova
doaj  

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