DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kwon, Kil-Hyun | - |
dc.contributor.advisor | 권길헌 | - |
dc.contributor.author | Oh, Weon-Ho | - |
dc.contributor.author | 오원호 | - |
dc.date.accessioned | 2011-12-14T04:58:02Z | - |
dc.date.available | 2011-12-14T04:58:02Z | - |
dc.date.issued | 1987 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=65550&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42297 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 응용수학과, 1987.2, [ [ii], 28, [3] p. ; ] | - |
dc.description.abstract | Like a pseudo-differential operator, a Hermite operator on $R^n$ is defined as a linear mapping of $C_0^{\infty}(R^n)$ into $C^{\infty}(R^{n+1})$ by using an amplitude which is a $C^{\infty}$ -function satisfying a certain growth condition and with the concept of oscillating integral. In this paper we show that a Hermite operator of degree m on $R^n$ can be extended as a continuous linear mapping of $H_C^s(R^n)$ into $H_{loc}^{s-m}(R^{n+1})$. Also, we can compose Hermite operators and pseudo-differential operators modulo regularizing operators and compute symbols for each case; if K and K`` are Hermite operators on $R^n$ and A and B are pseudo-differential operators on $R^{n+1}$ and $R^n$ respectively, then $K^*\Cdot K``$ is a pseudo differential operator on $R^n$ and $A\Cdot K$ and $A\Cdot B$ are Hermite operators on $R^n$. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.title | Symbolic calculus of Hermite operators | - |
dc.title.alternative | Hermite 작용소의 연산 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 65550/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학과, | - |
dc.identifier.uid | 000851239 | - |
dc.contributor.localauthor | Kwon, Kil-Hyun | - |
dc.contributor.localauthor | 권길헌 | - |
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