Quasi-Nearly Subharmonicity and Separately Quasi-Nearly Subharmonic Functions [PDF]
Wiegerinck has shown that a separately subharmonic function need not be subharmonic. Improving previous results of Lelong, Avanissian, Arsove, and of us, Armitage and Gardiner gave an almost sharp integrability condition which ensures a separately ...
Juhani Riihentaus
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On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions [PDF]
This note verifies a conjecture of Král, that a continuously differentiable function, which is subharmonic outside its critical set, is subharmonic everywhere.
Stephen J. Gardiner, Tomas Sjödin
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Subharmonic envelopes for functions on domains
One of the most common problems in various fields of real and complex analysis is the questions of the existence and construction for a given function of an envelope from below or from above of a function from a special class H. We consider a case when H
Bulat N. Khabibullin
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Entanglement produced by pairs of superposed two-mode coherent and subharmonic cavity light beams [PDF]
We examined a two-mode coherent and subharmonic light beam within a cavity that is coupled to a two-mode vacuum reservoir through a single port mirror. Utilizing the solutions of the quantum Langevin equations, we developed Q-functions for the two-mode ...
Menwuyelet Melaku, Deribe Hirpo
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1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS
The subharmonic response of one third order of Duffing oscillator under harmonic and random excitations is investigated for the first time by a technique combining the stochastic averaging method, the equivalent linearization method, and the technique of
N. D. Anh +3 more
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Structural Vibration Analysis of UAVs Under Ground Engine Test Conditions [PDF]
Monitoring mechanical vibration is crucial for ensuring the structural integrity and optimal performance of unmanned aerial vehicles (UAVs). This study introduces a portable and low-cost system that enables integrated acquisition and analysis of UAV ...
Sara Isabel González-Cabrera +5 more
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ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR
We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool.
Isaev K . P .
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Convex Sets and Subharmonicity of the Inverse Norm Function
In this paper, we show that in order for a proper compact subset K of plane ℝ2 to be convex, it is necessary and sufficient that inverse norm function be subharmonic.
Mohammad Taghi Heydari
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Asymptotics of $\delta$-subharmonic functions of finite order
For $\delta$-subharmonic in $\mathbb{R}^m$, $m\geq2$, function $u=u_1-u_2$ of finite positive order we found the asymptotical representation of the form \[ u(x)=-I(x,u_1)+I(x,u_2) +O\left(V(|x|)\right),\ x\to\infty, \] where $I(x,u_i)=\int\limits_{|a-x ...
M.V. Zabolotskyi
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Integrals of subharmonic functions and their differences with weight over small sets on a ray
Let $E$ be a measurable subset in a segment $[0,r]$ in the positive part of the real axis in the complex plane, and $U=u-v$ be the difference of subharmonic functions $u\not\equiv -\infty$ and $v\not\equiv -\infty$ on the complex plane.
B.N. Khabibullin
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