학술논문
RESTRICTION ESTIMATES FOR ARBITRARY CONVEX CURVES IN R2
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Boo Yong Choi
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 2, 197~206쪽, 전체 10쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2010.06.30
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국문 초록
영문 초록
We study the restriction estimate of Fourier transform to arbitrary convex curves in R2 with no regularity assumption.
Assuming that the convex curve has the lower bound of curvatures, we extend the restriction results from smooth convex curves to ar-bitrary convex curves. Our work has been motivated by the lecture notes of Terence Tao. The bilinear approach and geometric obser-vations play an important role.
목차
1. Introduction
2. Preliminary reduction and geometric facts
3. Proof of Theorem 1.1
References
키워드
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