• 제목/요약/키워드: Function space

검색결과 4,427건 처리시간 0.03초

A REPRESENTATION FOR AN INVERSE GENERALIZED FOURIER-FEYNMAN TRANSFORM ASSOCIATED WITH GAUSSIAN PROCESS ON FUNCTION SPACE

  • Choi, Jae Gil
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권4호
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    • pp.281-296
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    • 2021
  • In this paper, we suggest a representation for an inverse transform of the generalized Fourier-Feynman transform on the function space Ca,b[0, T]. The function space Ca,b[0, T] is induced by the generalized Brownian motion process with mean function a(t) and variance function b(t). To do this, we study the generalized Fourier-Feynman transform associated with the Gaussian process Ƶk of exponential-type functionals. We then establish that a composition of the Ƶk-generalized Fourier-Feynman transforms acts like an inverse generalized Fourier-Feynman transform.

FOURIER TRANSFORM OF ANISOTROPIC MIXED-NORM HARDY SPACES WITH APPLICATIONS TO HARDY-LITTLEWOOD INEQUALITIES

  • Liu, Jun;Lu, Yaqian;Zhang, Mingdong
    • 대한수학회지
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    • 제59권5호
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    • pp.927-944
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    • 2022
  • Let $\vec{p}{\in}(0,\;1]^n$ be an n-dimensional vector and A a dilation. Let $H^{\vec{p}}_A(\mathbb{R}^n)$ denote the anisotropic mixed-norm Hardy space defined via the radial maximal function. Using the known atomic characterization of $H^{\vec{p}}_A(\mathbb{R}^n)$ and establishing a uniform estimate for corresponding atoms, the authors prove that the Fourier transform of $f{\in}H^{\vec{p}}_A(\mathbb{R}^n)$ coincides with a continuous function F on ℝn in the sense of tempered distributions. Moreover, the function F can be controlled pointwisely by the product of the Hardy space norm of f and a step function with respect to the transpose matrix of A. As applications, the authors obtain a higher order of convergence for the function F at the origin, and an analogue of Hardy-Littlewood inequalities in the present setting of $H^{\vec{p}}_A(\mathbb{R}^n)$.

HARDY SPACE OF LOMMEL FUNCTIONS

  • Yagmur, Nihat
    • 대한수학회보
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    • 제52권3호
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    • pp.1035-1046
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    • 2015
  • In this work we present some geometric properties (like star-likeness and convexity of order ${\alpha}$ and also close-to-convexity of order ($1+{\alpha}$)/2) for normalized of Lommel functions of the first kind. In order to prove our main results, we use the technique of differential subordinations and some inequalities. Furthermore, we present some applications of convexity involving Lommel functions associated with the Hardy space of analytic functions, i.e., we obtain conditions for the function $h_{{\mu},{\upsilon}}(z)$ to belong to the Hardy space $H^p$.

A FRESNEL TYPE CLASS ON FUNCTION SPACE

  • Chang, Seung-Jun;Choi, Jae-Gil;Lee, Sang-Deok
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권1호
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    • pp.107-119
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    • 2009
  • In this paper we define a Banach algebra on very general function space induced by a generalized Brownian motion process rather than on Wiener space, but the Banach algebra can be considered as a generalization of Fresnel class defined on Wiener space. We then show that several interesting functions in quantum mechanic are elements of the class.

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On the Radial Basis Function Networks with the Basis Function of q-Normal Distribution

  • Eccyuya, Kotaro;Tanaka, Masaru
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2002년도 ITC-CSCC -1
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    • pp.26-29
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    • 2002
  • Radial Basis Function (RBF) networks is known as efficient method in classification problems and function approximation. The basis function of RBF networks is usual adopted normal distribution like the Gaussian function. The output of the Gaussian function has the maximum at the center and decrease as increase the distance from the center. For learning of neural network, the method treating the limited area of input space is sometimes more useful than the method treating the whole of input space. The q-normal distribution is the set of probability density function include the Gaussian function. In this paper, we introduce the RBF networks with the basis function of q-normal distribution and actually approximate a function using the RBF networks.

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FLIGHT SOFTWARE DEVELOPMENT FOR THE KODSAT

  • Choi Eun-Jung;Park Suk-June;Kang Suk-Joo;Seo Min-Suk;Chae Jang-Soo;Oh Tae-Sik
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
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    • 한국우주과학회 2004년도 한국우주과학회보 제13권2호
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    • pp.364-367
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    • 2004
  • This paper presents the flight software of KoDSat (KSLV-l Demonstration Satellite) which performs demonstrating the KSLV-l (Korea Space Launch Vehicle-l)'s satellite launch capability. The KoDSat Flight Software executes in a single-processor, multi-function flight computer on the spacecraft, the OBC (On Board Computer). The flight software running on the single processor is responsible for all real-time processing associated with: processor startup and hardware initialization, task scheduling, RS422 handling function, command and data handling including uplink command and down-link telemetry, attitude determination and control, battery state of charge monitoring and control, thermal control processing.

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광교신도시 완충녹지의 입지와 이용만족도 연구 (A Study on Location and User Satisfaction of the Green Buffer Zone in Gwanggyo New Town)

  • 김주옥;최원빈;신지훈
    • 한국환경복원기술학회지
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    • 제20권6호
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    • pp.21-33
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    • 2017
  • The purpose of this study is to find out that it can be provided as a basic data to increase the satisfaction with users in the placement and creation of the Green Buffer Zone. In this study, the research was started on the Green Buffer Zone in Gwanggyo new town, which was rebuilt as the zone to use according to the change of legal installation standard of the zone. The subject of this study is the Green Buffer Zone in Gwanggyo new town, which is expected to be completed in step 4 of 2016. As a result of analysing the location and use characteristics of the Green Buffer Zone, the following conclusions were made. First of all, it is categorized into two categories by Buffering / disaster prevention type and land to use adjustment type. Second, the buffer space of commercial space and housing is satisfying, but in commercial space, there is a need for a cushioning function and housing spaces require improvements in the functioning of the landscape. Third, the function of the Green Buffer Zone resets to cushioning function, disaster prevention function, landscape function, utilization function. and The installation criteria are proposed to environmental pollution, noise abatement, and planting trees, etc. Lastly, the future utilization plan considering the location and use characteristics of the Green Buffer Zone is as follows. In the planning stage, preference is given to the characteristics of use of arranging green facility. It is necessary to manage the planned facilities as much as possible by changing them if necessary. Construction stage, it restrictively reflects landscaping facilities within the Green Buffer Zone function. After stage, This study will prioritize the target areas and select necessary areas and need to make efforts to prevent indiscriminate greenery encroachment.

교회공간 예배실의 위치적 기능에 따른 마감재 적용 연구 (A Study on the Application of Finishing Materials According to the Locational Function of the Chapel in Church Space)

  • 여미;이창노
    • 한국실내디자인학회논문집
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    • 제24권1호
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    • pp.178-188
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    • 2015
  • This study has the main objective of being of help as a reference data for the application of the finishing materials when designing the interior of the chapel of the church space through analysis of the finishing materials against the chapels of church space which has complex function. As precedent studies for this, the composition of the function and concept of the church space was surveyed and the complex function of the church space was surveyed. The theoretical surveyed was performed according to the casual composition, behavior of the community and role and location of the duties of the church members. The case objects were 10 chapels constructed by 5 professional interior design companies. The content of the analysis was the finishing materials in the chapels and their application characteristics. The detailed considerations to be referred to when designing the interior of the chapels of church space in the future were proposed. The analysis result of the application of the finishing materials according to the locational function of the chapels of church space can be explained as follows. First, the platform area was the characteristic of applying finishing materials which induce visual immersion. As for the floor materials in the platform, in order to minimize the floor sound and vibration phenomenon occurring during movements, noise insulation and dust protection rubber sheet was place and on top of it the floor or the carpet was placed. Second, the Choir area had the difficult problem of having to consider the appropriate sound absorption occurring due to the proliferation of sound and performance of classical instruments at the same time. However, in the case, this problem was solved through the sculptures of convex shape. Third, since the scheelite is a space where many people move around, the finishing material which absorbs sound was mainly used. Fourth, the entrance area was composed of thick wall materials compared to other walls, and the sound absorption character was most significantly considered when applying the finishing material. Fifth, the broadcasting room was composed either in independent type or an open type and performed its function and the main finishing materials was transparent glass which was highest use frequency.

의과대학의 기능과 동선에 관한 건축계획 연구 (A Study on the Architectural Planning of the Function and Circulation in the College of Medicine)

  • 최광석;권순정
    • 의료ㆍ복지 건축 : 한국의료복지건축학회 논문집
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    • 제27권2호
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    • pp.15-24
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    • 2021
  • Purpose: This study is to present basic data on the Architectural planning of the college of medicine by arranging the functional zoning planning, functional unit planning, and circulation planning, based on the diversification of medical education and the changes of Learning spaces. Methods: This study was conducted by literature review on existing medical education method and learning space planning. And then on-site surveys and questionnaire were conducted on existing facilities. Results: The diversification of medical education has already been progressing for a long time, and the development of information technology is integrated into the learning space, and the evolution of the learning method and the flexibility of the learning space give effect to the change of the learning space. ① This study reconstructed the existing classification method of university facilities into the fuctional zoning method that combines the architectural concept of function and movement. ② The functions and functional units of the college of medicine according to the proposed functional zone were arranged, and the space required for the medical college was suggested. ③ The function and type of movement of medical college can be classified into professor/student fusion type, teaching and research separation type, and learning and learning shared space integrated arrangement type. In the future, it is necessary to consider fusion type or integrated arrangement type rather than separation type. Implications: the evolution of the learning method and the flexibility of the learning space give effect to the change of the learning space.

A NOTE ON A REGULARIZED GAP FUNCTION OF QVI IN BANACH SPACES

  • Kum, Sangho
    • 충청수학회지
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    • 제27권2호
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    • pp.271-276
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    • 2014
  • Recently, Taji [7] and Harms et al. [4] studied the regularized gap function of QVI analogous to that of VI by Fukushima [2]. Discussions are made in a finite dimensional Euclidean space. In this note, an infinite dimensional generalization is considered in the framework of a reflexive Banach space. To do so, we introduce an extended quasi-variational inequality problem (in short, EQVI) and a generalized regularized gap function of EQVI. Then we investigate some basic properties of it. Our results may be regarded as an infinite dimensional extension of corresponding results due to Taji [7].