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Relations among the first variation, the convolutions and the generalized Fourier-Gauss transforms
임만규,지운식,박윤정 대한수학회 2011 대한수학회보 Vol.48 No.2
We first study the generalized Fourier-Gauss transforms of functionals defined on the complexification B_C of an abstract Wiener space (H, B, v). Secondly, we introduce a new class of convolution products of functionals defined on B_C and study several properties of the convolutions. Then we study various relations among the first variation, the convolutions, and the generalized Fourier--Gauss transforms.
The Transformation Theorem on Analogue of Wiener Space
임만규 한국수학교육학회 2007 純粹 및 應用數學 Vol.14 No.4
In 2002, the author and professor Ryu introduced the concept of ana- logue of Wiener measure. In this paper, we prove the existence theorem of Fourier- Feynman transform on analogue of Wiener measure in L2-norm sense.
Girsanov theorem for Gaussian process withindependent increments
임만규,지운식,김재희 충청수학회 2006 충청수학회지 Vol.19 No.4
A characterization of Gaussian process with indepen-dent increments in terms of the support of covariance operator isestablished. We investigate the Girsanov formula for a Gaussianprocess with independent increments.
An analogue of Wiener measure and its applications
임만규,류근식 대한수학회 2002 대한수학회지 Vol.39 No.5
In this note, we establish a translation theorem in an analogue ofWiener space (C[0,t],omega_varphi ) and find formulas for theconditional omega_varphi-integral given by the condition X(x)= (x(t_0 ), x(t_1 ) , cdots , x(t_n )) which is thegeneralization of Chang and Chang's results in 1984. Moreover, weprove a translation theorem for the conditionalomega_varphi-integral.
Stochastic Calculus for Analogue of Wiener Process
임만규,김재희 한국수학교육학회 2007 純粹 및 應用數學 Vol.14 No.4
In this paper, we define an analogue of generalized Wiener measure and investigate its basic properties. We define (Itˆo type) stochastic integrals with respect to the generalized Wiener process and prove the Itˆo formula. The existence and uniqueness of the solution of stochastic differential equation associated with the generalized Wiener process is proved. Finally, we generalize the linear filtering theory of Kalman–Bucy to the case of a generalized Wiener process.
소형방출챔버를 이용한 자동차 시트커버의 휘발성유기화합물질과 폼알데히드 방출 특성 평가
임만규,정봉진,이은영,이나연,박효근,남원준,Harold H. Schobert 한국냄새환경학회 2008 실내환경 및 냄새 학회지 Vol.7 No.3
"Sick car syndrome" is known as a syndrome having latent health damage caused by complex smell of the assorted chemicals such as PVC and ABS which was components of new car interior trim (sheet, dashboard, audio case, cable, safety glass, synthetic rubber, and adhesive). The impact of interior trim on VOC levels was evaluated by testing with leather or fabric trims. Concentrations of VOCs and formaldehyde (HCHO) discharged from the car interior trims (2 sheet covers and 1 headliner) fixed in the sample holder of the small chamber were analyzed quantitatively and qualitatively. Concentrations of TVOC and HCHO emitted from 3 samples increased with increasing temperature and time. Concentration of TVOC emitted from PVC foam leather was highest under experimental conditions.