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Extra Form
Lecturer 이상혁
Dept. 서울대
date Nov 29, 2018

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.  


Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia On some nonlinear elliptic problems file Paul Sabatier University, Toulouse Yuri Egorov
Math Colloquia Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
Math Colloquia Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
Math Colloquia Gaussian free field and conformal field theory file 서울대학교 강남규
Math Colloquia Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
Math Colloquia Conformal field theory in mathematics file 고등과학원 강남규
BK21 FOUR Rookies Pitch 2023-1 Probabilistic Potential Theroy (강재훈) file BK21 강재훈
Math Colloquia Periodic orbits in symplectic geometry file 서울대 강정수
Math Colloquia <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations file 연세대학교 강정한
Special Colloquia Irreducible Plane Curve Singularities file 서울대학교 강정혁
Math Colloquia Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
Math Colloquia 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement file 서울대학교 계승혁
Math Colloquia <정년퇴임 기념강연> 작용소대수와 양자정보이론 file 서울대학교 계승혁
Math Colloquia Topology of configuration spaces on graphs file KAIST 고기형
Math Colloquia 학부생을 위한 강연회: What is the algebraic number theory? file KAIST 구자경
Math Colloquia Solver friendly finite element methods file Oklahoma State Univ. 구자언
Math Colloquia <학부생을 위한 ɛ 강연> Continuous-time Portfolio Selection file 아주대학교 금융공학과 구형건
Math Colloquia 학부생을 위한 강연: A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK file Univ. of Rhode Island/서울대학교 국웅
Math Colloquia Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
Math Colloquia Contact topology of singularities and symplectic fillings file 순천대학교 권명기
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