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학술대회/행사

초록검색

제출번호(No.) 0169
분류(Section) Special Session
분과(Session) (SS-09) Harmonic Analysis and Related Topics (SS-09)
발표시간(Time) 19th-A-10:30 -- 11:00
영문제목
(Title(Eng.))
Bochner-Riesz mean for the twisted Laplacian
저자(Author(s))
Eunhee Jeong1, Sanghyuk Lee2, Jaehyeon Ryu3
Jeonbuk National University1, Seoul National University2, KIAS3
초록본문(Abstract) We consider the Bochner-Riesz mean $S^\alpha_\lambda(\mathcal L)$ for the twisted Laplacian $\mathcal L$, which is a summability method for the eigenfunction expansion of the twisted Laplacian. Especially, we study $L^p$ convergence of $S^\alpha_\lambda(\mathcal L)$ in $\R^2$ and find a sharp index $\alpha$. In this talk, we overview the problem and introduce the brief idea of the proof. This is based on the joint work with Sanghyuk Lee and Jaehyeon Ryu.
분류기호
(MSC number(s))
42B99
키워드(Keyword(s)) Twisted Laplacian, Bochner-Riesz means, Lp convergence
강연 형태
(Language of Session (Talk))
Korean