연 사 : 김 준 일 교수
소 속 : 연세대학교 수학과
발표주제 : Simple proof of Phong and Stein's theorem
for the 1D oscillatory integral operator
발표내용 : In 1997 Phong and Stein obtained the
optimal decay rate for the operator norm in $L^2$
of the 1-D oscillatroy integral operator. They used
the factorization (resolution of the singularites) of
the Hessian of the phase function.
In this talk we give a more direct proof without
using any factorization of the phase functions.
Instedad, we repeatedly use the almost orthogonality
prinicples.
발표일자 : 2010년 12월 10일(금) 오후3시
발표장소 : 아산이학관 524호