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

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Authors
박정원
Advisor
이상혁
Major
자연과학대학 수리과학부
Issue Date
2018-02
Publisher
서울대학교 대학원
Keywords
Fourier restriction estimates for space curvesnon-degenerate curveLorentz spaceHausdorff-Young inequality
Description
학위논문 (석사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 2. 이상혁.
Abstract
For 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.
Language
English
URI
https://hdl.handle.net/10371/142450
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
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