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Extra Form
강연자 이상혁
소속 서울대
date 2018-11-29

Convergence of Fourier series and integrals is the most fundamental question in classical harmonic analysis from its beginning. In one dimension convergence in Lebesgue spaces is fairly well understood. However in higher dimensions the problem becomes more intriguing since there is no canonical way to sum (and integrate) Fourier series (and integrals, respectively), and convergence of the multidimensional Fourier series and integrals is related to complicated phenomena which can not be understood in perspective of convergence in one dimension. The Bochner-Riesz conjecture may be regarded as an attempt to understand multidimensional Fourier series and integrals. Even though the problem is settled in two dimensions, it remains open in higher dimensions. In this talk we review developments in the Bochner-Riesz conjecture and discuss its connection to the related problems such as the restriction and Kakeya conjectures.  


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List of Articles
카테고리 제목 소속 강연자
수학강연회 A modified separation method to solve a heat-transfer boundary value problem file 서울대 경제학부 최병선
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수학강연회 A-infinity functor and topological field theory file Simons Center for Geometry and Physics Kenji Fukaya
수학강연회 Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients file University of Illinois Renming Song
수학강연회 Alice and Bob meet Banach and von Neumann file 서울대 이훈희
수학강연회 Congruences between modular forms file 서울대 유화종
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수학강연회 Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
수학강연회 Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition file 서울대학교 최형인
수학강연회 <학부생을 위한 ɛ 강연> 4차 산업혁명, 글로벌 디지털 혁신과 일자리 전쟁, 대학의 역할 file 서울대 전기정보공학부, 빅데이터연구원 원장 차상균
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