Spectral measure corresponding to orthogonal polynomials defined by three-term recurrence relation3항 점화식으로 정의되는 직교다항식의 스펙트랄 측도

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dc.contributor.advisorKwon, Kil-Hyun-
dc.contributor.advisor권길헌-
dc.contributor.authorKim, Jong-Min-
dc.contributor.author김종민-
dc.date.accessioned2011-12-14T04:53:49Z-
dc.date.available2011-12-14T04:53:49Z-
dc.date.issued2001-
dc.identifier.urihttp://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=166241&flag=dissertation-
dc.identifier.urihttp://hdl.handle.net/10203/42023-
dc.description학위논문(석사) - 한국과학기술원 : 응용수학전공, 2001.2, [ [ii], 37 p. ]-
dc.description.abstractSuppose that a Borel measure with infinite support is given. Then it is known that the orthogonal polynomial system exists. Conversely, if the polynomial systems satisfying the three-term recurrence relation are given, then the measure of orthogonality exists. In this thesis, we will discuss the relationship between the coefficients of the three-term recurrence relation and the nature of the spectral measure, support, absolute continuity. In this thesis, the properties of the spectral measure is obtained by the tools of functional analysis, operator theory, and perturbation theory.eng
dc.languageeng-
dc.publisher한국과학기술원-
dc.subjectorthogonal polynomial-
dc.subjectspectral measure-
dc.subject스펙트랄 측도-
dc.subject직교다항식-
dc.titleSpectral measure corresponding to orthogonal polynomials defined by three-term recurrence relation-
dc.title.alternative3항 점화식으로 정의되는 직교다항식의 스펙트랄 측도-
dc.typeThesis(Master)-
dc.identifier.CNRN166241/325007-
dc.description.department한국과학기술원 : 응용수학전공, -
dc.identifier.uid000993148-
dc.contributor.localauthorKwon, Kil-Hyun-
dc.contributor.localauthor권길헌-
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