https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
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.  


Atachment
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
수학강연회 An introduction to hyperplane arrangements file 서울대 이승진
수학강연회 <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces file 서울대 이상혁
수학강연회 Mirror symmetry of pairings file 숭실대학교 이상욱
수학강연회 Trends to equilibrium in collisional rarefied gas theory file 포항공과대학교 이동현
수학강연회 학부학생을 위한 강연회: 기하학과 우주론 file 홍익대학교 이남훈
수학강연회 Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
수학강연회 Geometric structures and representation spaces file 서울대학교 이계선
수학강연회 Seifert fiberings file University of Oklahoma 이경배
수학강연회 Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
수학강연회 Congruences between modular forms file 서울대 유화종
수학강연회 Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
수학강연회 <학부생을 위한 강연> 수학과 보험산업 file 라이나생명 유신옥
수학강연회 학부생을 위한 강연: 건축과 수학 file UI 건축사무소 위진복
수학강연회 Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
수학강연회 Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
수학강연회 From mirror symmetry to enumerative geometry file 서울대학교 오정석
수학강연회 Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
수학강연회 Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
수학강연회 Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
수학강연회 What happens inside a black hole? file 고등과학원 오성진
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 Next
/ 11