• 대한수학회보
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• 제54권6호
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• pp.2013-2027
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• 2017

We compute explicitly the matrices represented by Toeplitz operators on the Hardy space over the unit circle with respect to a special orthonormal basis constructed by author in terms of their symbols. And we also find a necessary condition for the matrix generated by the product of two Toeplitz operators with respect to the basis to be a Toeplitz matrix by a direct calculation and we finally solve commuting problems of two Toeplitz operators in terms of symbols. This is a generalization of the classical results obtained regarding to the orthonormal basis consisting of the monomials.

• 대한수학회논문집
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• 제33권3호
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• pp.787-798
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• 2018

For $1{\leq}p{\leq}{\infty}$, let $H^p$ be the usual Hardy space on the unit circle. When ${\alpha}$ and ${\beta}$ are bounded functions, a singular integral operator $S_{{\alpha},{\beta}}$ is defined as the following: $S_{{\alpha},{\beta}}(f+{\bar{g}})={\alpha}f+{\beta}{\bar{g}}(f{\in}H^p,\;g{\in}zH^p)$. When p = 2, we study the hyponormality of $S_{{\alpha},{\beta}}$ when ${\alpha}$ and ${\beta}$ are some special functions.

• 대한수학회논문집
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• 제9권3호
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• pp.607-616
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• 1994

I. M. Gelfand and G. E. Shilov [GS] introduced the Gelfand-Shilov spaces of type S, generalized type S and type W of test functions to investigate the uniqueness of the solutions of the Cauchy problems of partial differential equations. Using the heat kernel method Matsuzawa gave structure theorems for distributions, hyperfunctions and generalized functions in the dual space $(S^s_r)'$ of the Gelfand-Shilov space of type S in [M1, M2 and DM], respectively. Also, we gave structure theorems for ultradistributions, Fourier hyperfunctions in [CK, KCK], respectively.

• 대한수학회지
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• 제49권4호
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• pp.829-842
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• 2012

In this paper, we give the condition for the boundedness of the Berezin transforms on Herz spaces with a normal weight on the unit ball of $\mathbb{C}^n$. And we provide the integral estimates concerning pluriharmonic kernel functions. Using this, we finally obtain the growth estimates of the Berezin transforms on such Herz spaces.

• East Asian mathematical journal
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• 제17권1호
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• pp.71-85
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• 2001

The strong convergences of solutions to a nonlinear Volterra equation are studied in Banach space. As an application, a nonlinear heat flow in a homogeneous bar of unit length of a material with memory is investigated.

• 대한수학회논문집
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• 제23권4호
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• pp.555-565
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• 2008

We will derive the asymptotic expansions of solutions of the heat equation with hyperfunctions initial data.

• Korean Journal of Mathematics
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• 제28권1호
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• pp.49-64
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• 2020

In this paper, we define fuzzy prime ideals of C-algebras and investigate some of their properties. Furthermore, we study the topological properties of the space of fuzzy prime ideals of C-algebra equipped with the hull-kernel topology.

• 전기학회논문지
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• 제58권2호
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• pp.399-406
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• 2009

In this study, Polynomial Radial Basis Function Neural Network(pRBFNN) based on Fuzzy Inference System is designed and its parameters such as learning rate, momentum coefficient, and distributed weight (width of RBF) are optimized by means of Particle Swarm Optimization. The proposed model can be expressed as three functional module that consists of condition part, conclusion part, and inference part in the viewpoint of fuzzy rule formed in 'If-then'. In the condition part of pRBFNN as a fuzzy rule, input space is partitioned by defining kernel functions (RBFs). Here, the structure of kernel functions, namely, RBF is generated from HCM clustering algorithm. We use Gaussian type and Inverse multiquadratic type as a RBF. Besides these types of RBF, Conic RBF is also proposed and used as a kernel function. Also, in order to reflect the characteristic of dataset when partitioning input space, we consider the width of RBF defined by standard deviation of dataset. In the conclusion part, the connection weights of pRBFNN are represented as a polynomial which is the extended structure of the general RBF neural network with constant as a connection weights. Finally, the output of model is decided by the fuzzy inference of the inference part of pRBFNN. In order to evaluate the proposed model, nonlinear function with 2 inputs, waster water dataset and gas furnace time series dataset are used and the results of pRBFNN are compared with some previous models. Approximation as well as generalization abilities are discussed with these results.

• 한국정보처리학회논문지
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• 제7권1호
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• pp.74-87
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• 2000

본 논문에서는 초고속 통신망인 Myrinet을 기반으로 하는 워크스테이션 연동(network of workstations) 환경하에서 병렬 프로그래밍 모델을 지원하는 PVM (parallel virtual machine)의 통신 성능 개선 방안을 제시한다. PVM을 위해 새로이 제안하는 Myrinet 기반 통신 모델은 커널을 경유하는 기존의 UDP/IP 프로토콜을 이용하는 통신 모델과 Myrinet API를 직접 이용하는 통신 모델을 혼합한 복합 통신 모델이다. 제안된 복합 통신 모델은 사용자 영역(커널)에서 커널(사용자) 버퍼로의 메시지 복사 부하를 제거하고 커널내의 프로토콜 스택 처리를 위한 통신 지연 요인을 감소시키므로, Myrinet상에서 보다 빠른 PVM 테스크간의 데이터 전송 속도를 보장한다. 또한, UDP/IP를 사용하는 기존 PVM에 본 논문에서 제안된 Myrinet 기반 복합 통신 모델을 적용시킨 EPVM (Enhanced PVM)을 구현하고, 이의 성능을 측정하였다. 실험 결과 EPVM의 통신 성능이 기존 PVM 보다 평균 1.5배 정보 우수하다는 것을 확인하였다.

• 한국정보통신학회논문지
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• 제15권9호
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• pp.1947-1954
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• 2011

널리 사용되고 있는 윈도우 운영체제의 보안 취약성으로 인한 다양한 형태의 공격에 의한 침입, 자료 유출 및 무단 변조 등의 문제점이 발생되고 있다. 본 논문에서는 윈도우 운영체제의 커널 수준에서 허가되지 않은 사용과 침입을 차단하고, 프로세스 메모리에 대한 접근을 강제적으로 제어할 수 있는 다중등급보안(Multi Level Security) 시스템을 구현하였다. 신뢰성 컴퓨터 시스템 평가기준(TCSEC)의 B1 등급에서 요구하는 대부분의 기능을 윈도우 운영체제 커널에 구현하였으며, 이를 확장하여 주요 프로세스의 메모리에 대한 변조를 차단하기 위한 기능을 보안 커널에 추가하였다.