• Journal of the Korean Mathematical Society
• /
• v.53 no.1
• /
• pp.233-246
• /
• 2016

In this paper, we introduce the class of analytic extensions of M-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an M-hyponormal operator T is subscalar of order 2k + 2. Finally we obtain that an analytic extension of an M-hyponormal operator satisfies Weyl's theorem.

• Bulletin of the Korean Mathematical Society
• /
• v.47 no.6
• /
• pp.1131-1138
• /
• 2010

In the present paper, we evaluate an analytic formula as a solution of Susceptible Infective (SI) model problem for communicable disease in which the daily contact rate (C(N)) is supposed to be varied linearly with population size N(t) that is large so that it is considered as a continuous variable of time t. Again, we introduce some Lie group of operators to make an extension of above analytic formula of the determin-istic epidemics model problem. Finally, we discuss some of its particular cases.

• Journal of the Korean Mathematical Society
• /
• v.59 no.6
• /
• pp.1171-1184
• /
• 2022

We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function. By making use of the first integrals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.

• Journal of the Chungcheong Mathematical Society
• /
• v.8 no.1
• /
• pp.119-130
• /
• 1995

I study the extension of the definition of the analytic operator-valued Feynman integral to potentials given by a class of signed measures described in terms of additive functionals associated with regular Dirichlet forms.

• Communications of the Korean Mathematical Society
• /
• v.29 no.2
• /
• pp.269-283
• /
• 2014

The aim of the paper is to present several new relationships involving the hyperharmonic function introduced by Mez$\ddot{o}$ in (I. Mez$\ddot{o}$, Analytic extension of hyperharmonic numbers, Online J. Anal. Comb. 4, 2009) which is an analytic extension of the hyperharmonic numbers. These relations are obtained by using some fractional calculus theorems as Leibniz rules and Taylor like series expansions.

• Journal of the Korean Mathematical Society
• /
• v.38 no.1
• /
• pp.87-99
• /
• 2001

We prove that the germ of a CR mapping f between real analytic real hypersurfaces has a holomorphic extension and satisfies a complete system of finite order if the source is of finite type in the sense of Bloom-Graham and the target is k-nondegenerate under certain generic assumptions on f.

• Journal of Agricultural Extension & Community Development
• /
• v.15 no.4
• /
• pp.599-619
• /
• 2008

The study is to develop indicators for woman famers center using focus group meeting and AHP(Analytic Hierarchy Process), which is a method to derive relative weights for each evaluation indicators. The results of this study are as follows. We determined such as the three indicators that planning establishment(seven), promotion process of work(six), performance of work(nine). We analysed the weights of this indicators by AHP. The relative weights of performance of work was 0.5269, planning establishment 0.2554 and promotion process of work marked 0.2177. It was suggested that further research should be carried out to develop more objective assessment indicators.

• Journal of Digital Convergence
• /
• v.10 no.3
• /
• pp.179-189
• /
• 2012

The purpose of this study examines the influence of brand concepts(symbolic vs. functional) and thinking styles(holistic vs. analytic) on the attitude toward extension ads.(rational/emotional) and product. The moderating effect of thinking styles was also tested. The results of this study are as follows: I) Brand concepts of parent brand had a significant effect on the attitude toward extension ads.(symbolic: no differences between rational and emotional ads., functional: rational ads. > emotional ads.) and extension product. 2) Thinking styles of consumers also did.(holistic: no differences between rational and emotional ads., analytic: rational > emotional ads.) and extension product. 3) The moderating effect of thinking styles was(rational ads.: symbolicfunctional).

• Bulletin of the Korean Mathematical Society
• /
• v.58 no.5
• /
• pp.1235-1245
• /
• 2021

Using recent L² extension theorems, we give an analytic proof under some conditions of Zariski's theorem on zero-dimensional base loci. This motivates further discussions on the crucial curvature conditions in L² extension theorems.

• Journal of the Korean Mathematical Society
• /
• v.40 no.4
• /
• pp.629-639
• /
• 2003

We give results describing behavior of regions of holomorphic extension of CR functions near boundary points of their domain of definition.