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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 Brownian motion and energy minimizing measure in negative curvature file 서울대학교 임선희
Math Colloquia Cloaking via Change of Variables file KAIST 임미경
BK21 FOUR Rookies Pitch 2023-2 Long-time Behavior of PDE (임덕우) file KIAS 임덕우
Math Colloquia Non-commutative Lp-spaces and analysis on quantum spaces file 서울대학교 이훈희
Math Colloquia Alice and Bob meet Banach and von Neumann file 서울대 이훈희
Math Colloquia Analysis and computations of stochastic optimal control problems for stochastic PDEs file 아주대 이형천
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Stochastic Analysis (이해성) file 서울대학교 수학연구소 이해성
Math Colloquia Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
Math Colloquia Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Harmonic Analysis (이진봉) file 서울대학교 이진봉
Math Colloquia The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Probability Theory (이중경) file 수리과학부 이중경
Math Colloquia Averaging formula for Nielsen numbers file 서강대학교 이종범
BK21 FOUR Rookies Pitch 2021-2 Rookies Pitch: Arithmetic Statistics (이정인) file KIAS 이정인
BK21 FOUR Rookies Pitch 2023-2 Minimal Surface Theory (이재훈) file KIAS 이재훈
BK21 FOUR Rookies Pitch 2023-1 Stochastic PDE(이재윤) file KIAS 이재윤
Math Colloquia <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces file 서울대학교 이우영
Math Colloquia Global result for multiple positive radial solutions of p-Laplacian system on exterior domain file 부산대학교 이용훈
Math Colloquia On function field and smooth specialization of a hypersurface in the projective space file KAIST 이용남
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Representation Theory(이신명) file 수리과학부 이신명
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