Results 21 to 30 of about 1,371 (181)
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]
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
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
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On McConnell’s inequality for functionals of subharmonic functions [PDF]
\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,
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On subharmonic functions [PDF]
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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]
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]
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
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Decoding Finely Tuned Gamma Oscillations in Chronic Deep Brain Stimulation for Parkinson's Disease
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]
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

