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.  

첨부 '1'
  1. <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems

  2. <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces

  3. <정년퇴임 기념강연> The Elements of Euclid

  4. <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점

  5. <정년퇴임 기념강연> 수학의 시대정신(?)

  6. <정년퇴임 기념강연> 작용소대수와 양자정보이론

  7. <청암상 수상 기념 특별강연> 동형암호, 기계학습, 근사정수론

  8. <학부생을 위한 ɛ 강연> 196884=196883+1

  9. <학부생을 위한 ɛ 강연> 4차 산업혁명, 글로벌 디지털 혁신과 일자리 전쟁, 대학의 역할

  10. <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system

  11. <학부생을 위한 ɛ 강연> Continuous-time Portfolio Selection

  12. 06Dec
    by 김수현
    in 수학강연회

    <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces

  13. <학부생을 위한 ɛ 강연> Geometry and algebra of computational complexity

  14. <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations

  15. <학부생을 위한 ɛ 강연> Intuition, Mathematics and Proof

  16. <학부생을 위한 ɛ 강연> Mathematical Aspects of Machine Learning and Deep Learning AI

  17. <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI

  18. <학부생을 위한 ɛ 강연> Secure computation: Promise and challenges

  19. <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision

  20. <학부생을 위한 ɛ 강연> Symplectic geometry and the three-body problem

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 Next
/ 12