Asymptotic estimate of a twisted Cauchy-Riemann operator with Neumann boundary condition  

作　　者：Hao WEN 

机构地区：[1]School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Frontiers of Mathematics in China》2017年第6期1469-1481,共13页中国高等学校学术文摘·数学（英文）

摘　　要：Abstract For a holomorphic function f defined on a strongly pseudo-convex domain in Cn such that it has only isolated critical points, we define a twisted Cauchy-Riemann operator -δτf ：-δ＋τδf∧. We will give an asymptotic estimate of the corresponding harmonic forms as T tends to infinity. This asymptotic estimate is used to recover the residue pairing of the singularity defined by f.Abstract For a holomorphic function f defined on a strongly pseudo-convex domain in Cn such that it has only isolated critical points, we define a twisted Cauchy-Riemann operator -δτf ：-δ＋τδf∧. We will give an asymptotic estimate of the corresponding harmonic forms as T tends to infinity. This asymptotic estimate is used to recover the residue pairing of the singularity defined by f.

关 键 词：Asymptotic estimate residue pairing 

分 类 号：T0[一般工业技术]