Browse

Fourier restriction estimates for space curves
공간 곡선에 대한 푸리에 제한 계측

DC Field Value Language
dc.contributor.advisor이상혁-
dc.contributor.author박정원-
dc.date.accessioned2018-05-29T05:07:40Z-
dc.date.available2018-05-29T05:07:40Z-
dc.date.issued2018-02-
dc.identifier.other000000149278-
dc.identifier.urihttps://hdl.handle.net/10371/142450-
dc.description학위논문 (석사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 2. 이상혁.-
dc.description.abstractFor the Fourier transformation of a Schwartz function f, one can ask for which p, q and subsets S we can meaningfully restrict the Fourier transform. That is, what geometrical property of a set S makes it possible to have the estimate.
In this paper, we will cover cases when a set S is a curve with certain non-degeneracy property. The purpose of this paper is to survey historical progress to deal with local restriction estimates for non-degenerate curves. Doing this, we review methods related to the restriction theorem and limitations come from those methods.
-
dc.description.tableofcontents1 Introduction 1
2 Preliminaries 3
3 Necessary conditions 7
4 Exotic potential 10
References 23
국문초록
-
dc.formatapplication/pdf-
dc.format.extent2692397 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectFourier restriction estimates for space curves-
dc.subjectnon-degenerate curve-
dc.subjectLorentz space-
dc.subjectHausdorff-Young inequality-
dc.subject.ddc510-
dc.titleFourier restriction estimates for space curves-
dc.title.alternative공간 곡선에 대한 푸리에 제한 계측-
dc.typeThesis-
dc.contributor.AlternativeAuthorJUNGWON PARK-
dc.description.degreeMaster-
dc.contributor.affiliation자연과학대학 수리과학부-
dc.date.awarded2018-02-
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
Files in This Item:
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse